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513342375 = 3537313307
BaseRepresentation
bin11110100110001…
…111101110100111
31022202221111100120
4132212033232213
52022403424000
6122534413023
715502224000
oct3646175647
91282844316
10513342375
1124384a7a7
12123b01173
13824770b0
144c26a1a7
15301016a0
hex1e98fba7

513342375 has 128 divisors (see below), whose sum is σ = 1076275200. Its totient is φ = 215913600.

The previous prime is 513342373. The next prime is 513342377. The reversal of 513342375 is 573243315.

It is an interprime number because it is at equal distance from previous prime (513342373) and next prime (513342377).

It is not a de Polignac number, because 513342375 - 21 = 513342373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513342371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1671972 + ... + 1672278.

It is an arithmetic number, because the mean of its divisors is an integer number (8408400).

Almost surely, 2513342375 is an apocalyptic number.

513342375 is an abundant number, since it is smaller than the sum of its proper divisors (562932825).

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

513342375 is a wasteful number, since it uses less digits than its factorization.

513342375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 335 counting only the distinct ones).

The product of its digits is 37800, while the sum is 33.

The square root of 513342375 is about 22657.0601579287. The cubic root of 513342375 is about 800.6985435145.

The spelling of 513342375 in words is "five hundred thirteen million, three hundred forty-two thousand, three hundred seventy-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 49 65 75 91 105 125 147 175 195 245 273 307 325 343 375 455 525 637 735 875 921 975 1029 1225 1365 1535 1625 1715 1911 2149 2275 2625 3185 3675 3991 4459 4605 4875 5145 6125 6447 6825 7675 8575 9555 10745 11375 11973 13377 15043 15925 18375 19955 22295 23025 25725 27937 32235 34125 38375 42875 45129 47775 53725 59865 66885 75215 79625 83811 99775 105301 111475 115125 128625 139685 161175 195559 225645 238875 268625 299325 315903 334425 376075 419055 498875 526505 557375 586677 698425 805875 977795 1128225 1368913 1496625 1579515 1672125 1880375 2095275 2632525 2933385 3492125 4106739 4888975 5641125 6844565 7897575 10476375 13162625 14666925 20533695 24444875 34222825 39487875 73334625 102668475 171114125 513342375