257580505075 has 12 divisors (see below), whose sum is σ = 319429195848. Its totient is φ = 206045456000.

The previous prime is 257580505073. The next prime is 257580505087. The reversal of 257580505075 is 570505085752.

It is a happy number.

It is not a de Polignac number, because 257580505075 - 2¹ = 257580505073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257580505073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193126 + ... + 743275.

It is an arithmetic number, because the mean of its divisors is an integer number (26619099654).

Almost surely, 2^257580505075 is an apocalyptic number.

257580505075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

257580505075 is a deficient number, since it is larger than the sum of its proper divisors (61848690773).

257580505075 is a wasteful number, since it uses less digits than its factorization.

257580505075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947414 (or 947409 counting only the distinct ones).

The product of its (nonzero) digits is 2450000, while the sum is 49.

The spelling of 257580505075 in words is "two hundred fifty-seven billion, five hundred eighty million, five hundred five thousand, seventy-five".