257757006345 has 32 divisors (see below), whose sum is σ = 414449021952. Its totient is φ = 136791697152.

The previous prime is 257757006277. The next prime is 257757006347. The reversal of 257757006345 is 543600757752.

It is not a de Polignac number, because 257757006345 - 2⁹ = 257757005833 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (257757006347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7867819 + ... + 7900511.

It is an arithmetic number, because the mean of its divisors is an integer number (12951531936).

Almost surely, 2^257757006345 is an apocalyptic number.

It is an amenable number.

257757006345 is a deficient number, since it is larger than the sum of its proper divisors (156692015607).

257757006345 is a wasteful number, since it uses less digits than its factorization.

257757006345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35281.

The product of its (nonzero) digits is 6174000, while the sum is 51.

The spelling of 257757006345 in words is "two hundred fifty-seven billion, seven hundred fifty-seven million, six thousand, three hundred forty-five".