258113520 has 320 divisors, whose sum is σ = 1042314240. Its totient is φ = 57480192.

The previous prime is 258113497. The next prime is 258113539. The reversal of 258113520 is 25311852.

It is a happy number.

258113520 is a `hidden beast` number, since 25 + 8 + 113 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 649962 + ... + 650358.

It is an arithmetic number, because the mean of its divisors is an integer number (3257232).

Almost surely, 2^258113520 is an apocalyptic number.

258113520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258113520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521157120).

258113520 is an abundant number, since it is smaller than the sum of its proper divisors (784200720).

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

258113520 is a wasteful number, since it uses less digits than its factorization.

258113520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 258113520 is about 16065.9117388339. The cubic root of 258113520 is about 636.7030317700.

The spelling of 258113520 in words is "two hundred fifty-eight million, one hundred thirteen thousand, five hundred twenty".