258601671260625 has 640 divisors, whose sum is σ = 604437174190080. Its totient is φ = 95011488000000.

The previous prime is 258601671260599. The next prime is 258601671260719. The reversal of 258601671260625 is 526062176106852.

258601671260625 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 258601671260625 - 2¹⁸ = 258601670998481 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 2586716890 + ... + 2586816860.

It is an arithmetic number, because the mean of its divisors is an integer number (944433084672).

Almost surely, 2^{258601671260625} is an apocalyptic number.

258601671260625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

258601671260625 is an abundant number, since it is smaller than the sum of its proper divisors (345835502929455).

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

258601671260625 is a wasteful number, since it uses less digits than its factorization.

258601671260625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100095 (or 100080 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 258601671260625 in words is "two hundred fifty-eight trillion, six hundred one billion, six hundred seventy-one million, two hundred sixty thousand, six hundred twenty-five".