257345734325 has 12 divisors (see below), whose sum is σ = 322206856608. Its totient is φ = 203877783600.

The previous prime is 257345734277. The next prime is 257345734343. The reversal of 257345734325 is 523437543752.

257345734325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 257345734325 - 2²² = 257341540021 is a prime.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49967471 + ... + 49972620.

It is an arithmetic number, because the mean of its divisors is an integer number (26850571384).

Almost surely, 2^257345734325 is an apocalyptic number.

257345734325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

257345734325 is a deficient number, since it is larger than the sum of its proper divisors (64861122283).

257345734325 is a wasteful number, since it uses less digits than its factorization.

257345734325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99940204 (or 99940199 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 50.

The spelling of 257345734325 in words is "two hundred fifty-seven billion, three hundred forty-five million, seven hundred thirty-four thousand, three hundred twenty-five".