257577828025 has 24 divisors (see below), whose sum is σ = 368638709184. Its totient is φ = 174876024000.

The previous prime is 257577828017. The next prime is 257577828037. The reversal of 257577828025 is 520828775752.

It is a happy number.

It is not a de Polignac number, because 257577828025 - 2³ = 257577828017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7268827 + ... + 7304176.

It is an arithmetic number, because the mean of its divisors is an integer number (15359946216).

Almost surely, 2^257577828025 is an apocalyptic number.

257577828025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257577828025 is a deficient number, since it is larger than the sum of its proper divisors (111060881159).

257577828025 is a wasteful number, since it uses less digits than its factorization.

257577828025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14573121 (or 14573116 counting only the distinct ones).

The product of its (nonzero) digits is 21952000, while the sum is 58.

The spelling of 257577828025 in words is "two hundred fifty-seven billion, five hundred seventy-seven million, eight hundred twenty-eight thousand, twenty-five".