258088728537 has 24 divisors (see below), whose sum is σ = 376144244424. Its totient is φ = 170513677824.

The previous prime is 258088728509. The next prime is 258088728553. The reversal of 258088728537 is 735827880852.

258088728537 is a `hidden beast` number, since 25 + 8 + 0 + 8 + 8 + 72 + 8 + 537 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52681266576 + 205407461961 = 229524^2 + 453219^2 .

It is not a de Polignac number, because 258088728537 - 2⁶ = 258088728473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (258088727537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11270143 + ... + 11293019.

It is an arithmetic number, because the mean of its divisors is an integer number (15672676851).

Almost surely, 2^258088728537 is an apocalyptic number.

It is an amenable number.

258088728537 is a deficient number, since it is larger than the sum of its proper divisors (118055515887).

258088728537 is a wasteful number, since it uses less digits than its factorization.

258088728537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34089 (or 34086 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 63.

The spelling of 258088728537 in words is "two hundred fifty-eight billion, eighty-eight million, seven hundred twenty-eight thousand, five hundred thirty-seven".