259524425952 has 96 divisors (see below), whose sum is σ = 825759567360. Its totient is φ = 78643762560.

The previous prime is 259524425921. The next prime is 259524425969.

It is a happy number.

259524425952 is a `hidden beast` number, since 2 + 5 + 9 + 5 + 2 + 4 + 42 + 595 + 2 = 666.

259524425952 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×259524425952² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13643928 + ... + 13662935.

It is an arithmetic number, because the mean of its divisors is an integer number (8601662160).

Almost surely, 2^259524425952 is an apocalyptic number.

259524425952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

259524425952 is an abundant number, since it is smaller than the sum of its proper divisors (566235141408).

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

259524425952 is a wasteful number, since it uses less digits than its factorization.

259524425952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27306893 (or 27306879 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 54.

The spelling of 259524425952 in words is "two hundred fifty-nine billion, five hundred twenty-four million, four hundred twenty-five thousand, nine hundred fifty-two".