257953723137 has 24 divisors (see below), whose sum is σ = 410418884928. Its totient is φ = 154817762400.

The previous prime is 257953723121. The next prime is 257953723151. The reversal of 257953723137 is 731327359752.

257953723137 is a `hidden beast` number, since 2 + 5 + 79 + 537 + 2 + 3 + 1 + 37 = 666.

257953723137 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 257953723137 - 2⁴ = 257953723121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257953723037) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12638314 + ... + 12658707.

It is an arithmetic number, because the mean of its divisors is an integer number (17100786872).

Almost surely, 2^257953723137 is an apocalyptic number.

It is an amenable number.

257953723137 is a deficient number, since it is larger than the sum of its proper divisors (152465161791).

257953723137 is a wasteful number, since it uses less digits than its factorization.

257953723137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25297141 (or 25297138 counting only the distinct ones).

The product of its digits is 8334900, while the sum is 54.

The spelling of 257953723137 in words is "two hundred fifty-seven billion, nine hundred fifty-three million, seven hundred twenty-three thousand, one hundred thirty-seven".