257225685795 has 48 divisors (see below), whose sum is σ = 480303419232. Its totient is φ = 126594938880.

The previous prime is 257225685767. The next prime is 257225685823. The reversal of 257225685795 is 597586522752.

It is a happy number.

257225685795 is a `hidden beast` number, since 2 + 5 + 7 + 2 + 2 + 56 + 8 + 579 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (257225685767) and next prime (257225685823).

It is not a de Polignac number, because 257225685795 - 2⁸ = 257225685539 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1868115 + ... + 2001075.

It is an arithmetic number, because the mean of its divisors is an integer number (10006321234).

Almost surely, 2^257225685795 is an apocalyptic number.

257225685795 is a deficient number, since it is larger than the sum of its proper divisors (223077733437).

257225685795 is a wasteful number, since it uses less digits than its factorization.

257225685795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136292 (or 136289 counting only the distinct ones).

The product of its digits is 105840000, while the sum is 63.

The spelling of 257225685795 in words is "two hundred fifty-seven billion, two hundred twenty-five million, six hundred eighty-five thousand, seven hundred ninety-five".