525477489264 has 960 divisors, whose sum is σ = 1932356321280. Its totient is φ = 133797381120.

The previous prime is 525477489247. The next prime is 525477489287. The reversal of 525477489264 is 462984774525.

525477489264 is a `hidden beast` number, since 5 + 2 + 547 + 7 + 4 + 89 + 2 + 6 + 4 = 666.

It is a super-2 number, since 2×525477489264² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3146571709 + ... + 3146571875.

It is an arithmetic number, because the mean of its divisors is an integer number (2012871168).

Almost surely, 2^525477489264 is an apocalyptic number.

525477489264 is a gapful number since it is divisible by the number (54) 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 525477489264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966178160640).

525477489264 is an abundant number, since it is smaller than the sum of its proper divisors (1406878832016).

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

525477489264 is a wasteful number, since it uses less digits than its factorization.

525477489264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 370 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 63.

The spelling of 525477489264 in words is "five hundred twenty-five billion, four hundred seventy-seven million, four hundred eighty-nine thousand, two hundred sixty-four".