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13250825133 = 3713372275779
BaseRepresentation
bin11000101011100111…
…11000101110101101
31021012110202122212020
430111303320232231
5204114202401013
610030511100353
7646240104150
oct142563705655
937173678766
1013250825133
11568a822057
1226998116b9
131332342b40
148d9bbbc97
1552849a623
hex315cf8bad

13250825133 has 64 divisors (see below), whose sum is σ = 22434908160. Its totient is φ = 6769412352.

The previous prime is 13250825129. The next prime is 13250825141. The reversal of 13250825133 is 33152805231.

It is not a de Polignac number, because 13250825133 - 22 = 13250825129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13250825094 and 13250825103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13250825153) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2290038 + ... + 2295816.

It is an arithmetic number, because the mean of its divisors is an integer number (350545440).

Almost surely, 213250825133 is an apocalyptic number.

13250825133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13250825133 is a deficient number, since it is larger than the sum of its proper divisors (9184083027).

13250825133 is a wasteful number, since it uses less digits than its factorization.

13250825133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6066.

The product of its (nonzero) digits is 21600, while the sum is 33.

It can be divided in two parts, 132508 and 25133, that added together give a triangular number (157641 = T561).

The spelling of 13250825133 in words is "thirteen billion, two hundred fifty million, eight hundred twenty-five thousand, one hundred thirty-three".

Divisors: 1 3 7 13 21 37 39 91 111 227 259 273 481 681 777 1443 1589 2951 3367 4767 5779 8399 8853 10101 17337 20657 25197 40453 58793 61971 75127 109187 121359 176379 213823 225381 327561 525889 641469 764309 1311833 1496761 1577667 2292927 2779699 3935499 4490283 8339097 9182831 17053829 19457893 27548493 48537821 51161487 58373679 119376803 145613463 339764747 358130409 630991673 1019294241 1892975019 4416941711 13250825133