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52130131515 = 325721117912007
BaseRepresentation
bin110000100011001100…
…101010111000111011
311222120001001001201200
4300203030222320323
51323230303202030
635540453345243
73523555543500
oct604314527073
9158501031650
1052130131515
1120121111420
12a12a338223
134bba17a687
1427475c14a7
1515518aed60
hexc2332ae3b

52130131515 has 144 divisors (see below), whose sum is σ = 115317146880. Its totient is φ = 21541645440.

The previous prime is 52130131513. The next prime is 52130131541. The reversal of 52130131515 is 51513103125.

52130131515 is a `hidden beast` number, since 5 + 2 + 13 + 0 + 131 + 515 = 666.

52130131515 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 52130131515 - 21 = 52130131513 is a prime.

It is a super-2 number, since 2×521301315152 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52130131513) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4335642 + ... + 4347648.

It is an arithmetic number, because the mean of its divisors is an integer number (800813520).

Almost surely, 252130131515 is an apocalyptic number.

52130131515 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

52130131515 is an abundant number, since it is smaller than the sum of its proper divisors (63187015365).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52130131515 is a wasteful number, since it uses less digits than its factorization.

52130131515 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12222 (or 12212 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 52130131515 in words is "fifty-two billion, one hundred thirty million, one hundred thirty-one thousand, five hundred fifteen".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 49 55 63 77 99 105 147 165 179 231 245 315 385 441 495 537 539 693 735 895 1155 1253 1611 1617 1969 2205 2685 2695 3465 3759 4851 5907 6265 8055 8085 8771 9845 11277 12007 13783 17721 18795 24255 26313 29535 36021 41349 43855 56385 60035 68915 78939 84049 88605 96481 108063 124047 131565 132077 180105 206745 252147 289443 394695 396231 420245 482405 540315 588343 620235 660385 756441 868329 924539 1188693 1260735 1447215 1765029 1981155 2149253 2773617 2941715 3782205 4341645 4622695 5295087 5943465 6447759 6471773 8320851 8825145 10746265 13868085 15044771 19343277 19415319 23641783 26475435 32238795 32358865 41604255 45134313 58245957 70925349 75223855 96716385 97076595 105313397 118208915 135402939 165492481 212776047 225671565 291229785 315940191 354626745 496477443 526566985 677014695 827462405 947820573 1063880235 1158447367 1489432329 1579700955 2482387215 3475342101 4739102865 5792236835 7447161645 10426026303 17376710505 52130131515