258201517827 has 32 divisors (see below), whose sum is σ = 393005385216. Its totient is φ = 149257856000.

The previous prime is 258201517813. The next prime is 258201517841. The reversal of 258201517827 is 728715102852.

It is an interprime number because it is at equal distance from previous prime (258201517813) and next prime (258201517841).

It is not a de Polignac number, because 258201517827 - 2⁷ = 258201517699 is a prime.

It is not an unprimeable number, because it can be changed into a prime (258201517627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213924 + ... + 749777.

It is an arithmetic number, because the mean of its divisors is an integer number (12281418288).

Almost surely, 2^258201517827 is an apocalyptic number.

258201517827 is a deficient number, since it is larger than the sum of its proper divisors (134803867389).

258201517827 is a wasteful number, since it uses less digits than its factorization.

258201517827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964091.

The product of its (nonzero) digits is 627200, while the sum is 48.

The spelling of 258201517827 in words is "two hundred fifty-eight billion, two hundred one million, five hundred seventeen thousand, eight hundred twenty-seven".