258071832001 has 16 divisors (see below), whose sum is σ = 261187774848. Its totient is φ = 254968502400.

The previous prime is 258071831989. The next prime is 258071832013. The reversal of 258071832001 is 100238170852.

It is an interprime number because it is at equal distance from previous prime (258071831989) and next prime (258071832013).

It is a cyclic number.

It is not a de Polignac number, because 258071832001 - 2¹⁹ = 258071307713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258071832041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138672811 + ... + 138674671.

It is an arithmetic number, because the mean of its divisors is an integer number (16324235928).

Almost surely, 2^258071832001 is an apocalyptic number.

It is an amenable number.

258071832001 is a deficient number, since it is larger than the sum of its proper divisors (3115942847).

258071832001 is a wasteful number, since it uses less digits than its factorization.

258071832001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4392.

The product of its (nonzero) digits is 26880, while the sum is 37.

The spelling of 258071832001 in words is "two hundred fifty-eight billion, seventy-one million, eight hundred thirty-two thousand, one".