257164608996 has 63 divisors (see below), whose sum is σ = 674820288723. Its totient is φ = 85712408280.

The previous prime is 257164608991. The next prime is 257164609111. The reversal of 257164608996 is 699806461752.

The square root of 257164608996 is 507114.

It is a perfect power (a square), and thus also a powerful number.

257164608996 is a `hidden beast` number, since 2 + 5 + 7 + 1 + 6 + 460 + 89 + 96 = 666.

It is a super-2 number, since 2×257164608996² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257164608991) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 27379461 + ... + 27388851.

Almost surely, 2^257164608996 is an apocalyptic number.

257164608996 is the 507114-th square number.

It is an amenable number.

257164608996 is an abundant number, since it is smaller than the sum of its proper divisors (417655679727).

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

257164608996 is an frugal number, since it uses more digits than its factorization.

257164608996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18804 (or 9396 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 257164608996 in words is "two hundred fifty-seven billion, one hundred sixty-four million, six hundred eight thousand, nine hundred ninety-six".