257026052225 has 48 divisors (see below), whose sum is σ = 333854298624. Its totient is φ = 196053696000.

The previous prime is 257026052203. The next prime is 257026052233. The reversal of 257026052225 is 522250620752.

It is not a de Polignac number, because 257026052225 - 2⁶ = 257026052161 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72583955 + ... + 72587495.

It is an arithmetic number, because the mean of its divisors is an integer number (6955297888).

Almost surely, 2^257026052225 is an apocalyptic number.

257026052225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257026052225 is a deficient number, since it is larger than the sum of its proper divisors (76828246399).

257026052225 is a wasteful number, since it uses less digits than its factorization.

257026052225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4938 (or 4933 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 38.

Adding to 257026052225 its reverse (522250620752), we get a palindrome (779276672977).

The spelling of 257026052225 in words is "two hundred fifty-seven billion, twenty-six million, fifty-two thousand, two hundred twenty-five".