257040627354757 has 32 divisors (see below), whose sum is σ = 299214656899200. Its totient is φ = 219214105325568.

The previous prime is 257040627354713. The next prime is 257040627354773. The reversal of 257040627354757 is 757453726040752.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 257040627354757 - 2³¹ = 257038479871109 is a prime.

It is a super-3 number, since 3×257040627354757³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257040627354857) 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, 181565028 + ... + 182975245.

It is an arithmetic number, because the mean of its divisors is an integer number (9350458028100).

Almost surely, 2^{257040627354757} is an apocalyptic number.

It is an amenable number.

257040627354757 is a deficient number, since it is larger than the sum of its proper divisors (42174029544443).

257040627354757 is a wasteful number, since it uses less digits than its factorization.

257040627354757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364540405.

The product of its (nonzero) digits is 345744000, while the sum is 64.

The spelling of 257040627354757 in words is "two hundred fifty-seven trillion, forty billion, six hundred twenty-seven million, three hundred fifty-four thousand, seven hundred fifty-seven".