258553503051 has 16 divisors (see below), whose sum is σ = 345109489440. Its totient is φ = 172183334400.

The previous prime is 258553503049. The next prime is 258553503059. The reversal of 258553503051 is 150305355852.

It is not a de Polignac number, because 258553503051 - 2¹ = 258553503049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 258553502994 and 258553503012.

It is not an unprimeable number, because it can be changed into a prime (258553503059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23302261 + ... + 23313353.

It is an arithmetic number, because the mean of its divisors is an integer number (21569343090).

Almost surely, 2^258553503051 is an apocalyptic number.

258553503051 is a deficient number, since it is larger than the sum of its proper divisors (86555986389).

258553503051 is a wasteful number, since it uses less digits than its factorization.

258553503051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18766.

The product of its (nonzero) digits is 450000, while the sum is 42.

The spelling of 258553503051 in words is "two hundred fifty-eight billion, five hundred fifty-three million, five hundred three thousand, fifty-one".