258255805525 has 12 divisors (see below), whose sum is σ = 320851873764. Its totient is φ = 206208080000.

The previous prime is 258255805519. The next prime is 258255805529. The reversal of 258255805525 is 525508552852.

258255805525 is digitally balanced in base 11, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1643653764 + 256612151761 = 40542^2 + 506569^2 .

It is not a de Polignac number, because 258255805525 - 2⁹ = 258255805013 is a prime.

It is a super-2 number, since 2×258255805525² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

258255805525 is strictly pandigital in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258255805529) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9900826 + ... + 9926875.

It is an arithmetic number, because the mean of its divisors is an integer number (26737656147).

Almost surely, 2^258255805525 is an apocalyptic number.

258255805525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

258255805525 is a deficient number, since it is larger than the sum of its proper divisors (62596068239).

258255805525 is a wasteful number, since it uses less digits than its factorization.

258255805525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19828232 (or 19828227 counting only the distinct ones).

The product of its (nonzero) digits is 8000000, while the sum is 52.

The spelling of 258255805525 in words is "two hundred fifty-eight billion, two hundred fifty-five million, eight hundred five thousand, five hundred twenty-five".