257059382025 has 24 divisors (see below), whose sum is σ = 435370821984. Its totient is φ = 133754473600.

The previous prime is 257059381993. The next prime is 257059382093. The reversal of 257059382025 is 520283950752.

It is not a de Polignac number, because 257059382025 - 2⁵ = 257059381993 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 23 ways as a sum of consecutive naturals, for example, 41795199 + ... + 41801348.

It is an arithmetic number, because the mean of its divisors is an integer number (18140450916).

Almost surely, 2^257059382025 is an apocalyptic number.

257059382025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257059382025 is a deficient number, since it is larger than the sum of its proper divisors (178311439959).

257059382025 is a wasteful number, since it uses less digits than its factorization.

257059382025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83596601 (or 83596596 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The spelling of 257059382025 in words is "two hundred fifty-seven billion, fifty-nine million, three hundred eighty-two thousand, twenty-five".