527382283725 has 96 divisors (see below), whose sum is σ = 1074809779200. Its totient is φ = 251366385600.

The previous prime is 527382283717. The next prime is 527382283763.

It is a happy number.

527382283725 is a `hidden beast` number, since 527 + 3 + 82 + 2 + 8 + 37 + 2 + 5 = 666.

527382283725 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 527382283725 - 2³ = 527382283717 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163857 + ... + 1040006.

It is an arithmetic number, because the mean of its divisors is an integer number (11195935200).

Almost surely, 2^527382283725 is an apocalyptic number.

527382283725 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

527382283725 is an abundant number, since it is smaller than the sum of its proper divisors (547427495475).

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

527382283725 is a wasteful number, since it uses less digits than its factorization.

527382283725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203952 (or 1203941 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 527382283725 in words is "five hundred twenty-seven billion, three hundred eighty-two million, two hundred eighty-three thousand, seven hundred twenty-five".