257028172070661 has 32 divisors (see below), whose sum is σ = 381143195596800. Its totient is φ = 171189801088560.

The previous prime is 257028172070653. The next prime is 257028172070833. The reversal of 257028172070661 is 166070271820752.

257028172070661 is a `hidden beast` number, since 2 + 570 + 2 + 8 + 1 + 7 + 2 + 0 + 7 + 0 + 6 + 61 = 666.

It is not a de Polignac number, because 257028172070661 - 2³ = 257028172070653 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257028172070598 and 257028172070607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257028172070161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1118279010 + ... + 1118508828.

It is an arithmetic number, because the mean of its divisors is an integer number (11910724862400).

Almost surely, 2^{257028172070661} is an apocalyptic number.

It is an amenable number.

257028172070661 is a deficient number, since it is larger than the sum of its proper divisors (124115023526139).

257028172070661 is a wasteful number, since it uses less digits than its factorization.

257028172070661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268886 (or 268880 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 257028172070661 in words is "two hundred fifty-seven trillion, twenty-eight billion, one hundred seventy-two million, seventy thousand, six hundred sixty-one".