257055311333634 has 32 divisors (see below), whose sum is σ = 578939821424640. Its totient is φ = 75382789246800.

The previous prime is 257055311333627. The next prime is 257055311333669. The reversal of 257055311333634 is 436333113550752.

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 15 ways as a sum of consecutive naturals, for example, 62818988994 + ... + 62818993085.

It is an arithmetic number, because the mean of its divisors is an integer number (18091869419520).

Almost surely, 2^{257055311333634} is an apocalyptic number.

257055311333634 is an abundant number, since it is smaller than the sum of its proper divisors (321884510091006).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257055311333634 is a wasteful number, since it uses less digits than its factorization.

257055311333634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125637982126.

The product of its (nonzero) digits is 10206000, while the sum is 51.

The spelling of 257055311333634 in words is "two hundred fifty-seven trillion, fifty-five billion, three hundred eleven million, three hundred thirty-three thousand, six hundred thirty-four".