102572252960319 has 24 divisors (see below), whose sum is σ = 153284121619200. Its totient is φ = 66016955135040.

The previous prime is 102572252960273. The next prime is 102572252960363. The reversal of 102572252960319 is 913069252275201.

102572252960319 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 7 + 2 + 2 + 5 + 29 + 603 + 1 + 9 = 666.

It is not a de Polignac number, because 102572252960319 - 2⁹ = 102572252959807 is a prime.

It is a super-4 number, since 4×102572252960319⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102572252960369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16904799 + ... + 22156640.

It is an arithmetic number, because the mean of its divisors is an integer number (6386838400800).

Almost surely, 2^{102572252960319} is an apocalyptic number.

102572252960319 is a deficient number, since it is larger than the sum of its proper divisors (50711868658881).

102572252960319 is a wasteful number, since it uses less digits than its factorization.

102572252960319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39071535 (or 39071532 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 102572252960319 in words is "one hundred two trillion, five hundred seventy-two billion, two hundred fifty-two million, nine hundred sixty thousand, three hundred nineteen".