172013864957 has 16 divisors (see below), whose sum is σ = 189407011200. Its totient is φ = 154920038400.

The previous prime is 172013864927. The next prime is 172013864959. The reversal of 172013864957 is 759468310271.

It is a cyclic number.

It is not a de Polignac number, because 172013864957 - 2¹⁰ = 172013863933 is a prime.

It is a super-2 number, since 2×172013864957² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 172013864899 and 172013864908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172013864959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343544 + ... + 679742.

It is an arithmetic number, because the mean of its divisors is an integer number (11837938200).

It is a 1-persistent number, because it is pandigital, but 2⋅172013864957 = 344027729914 is not.

Almost surely, 2^172013864957 is an apocalyptic number.

It is an amenable number.

172013864957 is a deficient number, since it is larger than the sum of its proper divisors (17393146243).

172013864957 is a wasteful number, since it uses less digits than its factorization.

172013864957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336644.

The product of its (nonzero) digits is 2540160, while the sum is 53.

The spelling of 172013864957 in words is "one hundred seventy-two billion, thirteen million, eight hundred sixty-four thousand, nine hundred fifty-seven".