258731691057 has 48 divisors (see below), whose sum is σ = 454778438400. Its totient is φ = 141418525248.

The previous prime is 258731690909. The next prime is 258731691067. The reversal of 258731691057 is 750196137852.

258731691057 is a `hidden beast` number, since 2 + 587 + 3 + 1 + 6 + 9 + 1 + 0 + 57 = 666.

258731691057 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 258731691057 - 2²⁰ = 258730642481 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 258731690994 and 258731691012.

It is not an unprimeable number, because it can be changed into a prime (258731691067) 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 47 ways as a sum of consecutive naturals, for example, 1751028 + ... + 1893029.

It is an arithmetic number, because the mean of its divisors is an integer number (9474550800).

Almost surely, 2^258731691057 is an apocalyptic number.

It is an amenable number.

258731691057 is a deficient number, since it is larger than the sum of its proper divisors (196046747343).

258731691057 is a wasteful number, since it uses less digits than its factorization.

258731691057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644107 (or 3644090 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 258731691057 in words is "two hundred fifty-eight billion, seven hundred thirty-one million, six hundred ninety-one thousand, fifty-seven".