258006506331 has 16 divisors (see below), whose sum is σ = 393183917568. Its totient is φ = 147420609600.

The previous prime is 258006506299. The next prime is 258006506369. The reversal of 258006506331 is 133605600852.

It is not a de Polignac number, because 258006506331 - 2⁵ = 258006506299 is a prime.

It is a super-2 number, since 2×258006506331² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 258006506331.

It is not an unprimeable number, because it can be changed into a prime (258006506231) 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, 211650 + ... + 748871.

It is an arithmetic number, because the mean of its divisors is an integer number (24573994848).

Almost surely, 2^258006506331 is an apocalyptic number.

258006506331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

258006506331 is a deficient number, since it is larger than the sum of its proper divisors (135177411237).

258006506331 is a wasteful number, since it uses less digits than its factorization.

258006506331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973322.

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 258006506331 in words is "two hundred fifty-eight billion, six million, five hundred six thousand, three hundred thirty-one".