257001023225 has 12 divisors (see below), whose sum is σ = 318735639420. Its totient is φ = 205565740800.

The previous prime is 257001023173. The next prime is 257001023231. The reversal of 257001023225 is 522320100752.

It can be written as a sum of positive squares in 6 ways, for example, as 1195707241 + 255805315984 = 34579^2 + 505772^2 .

It is not a de Polignac number, because 257001023225 - 2¹⁸ = 257000761081 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 726980 + ... + 1021029.

It is an arithmetic number, because the mean of its divisors is an integer number (26561303285).

Almost surely, 2^257001023225 is an apocalyptic number.

257001023225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257001023225 is a deficient number, since it is larger than the sum of its proper divisors (61734616195).

257001023225 is a wasteful number, since it uses less digits than its factorization.

257001023225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753900 (or 1753895 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

Adding to 257001023225 its reverse (522320100752), we get a palindrome (779321123977).

The spelling of 257001023225 in words is "two hundred fifty-seven billion, one million, twenty-three thousand, two hundred twenty-five".