525377664 has 384 divisors, whose sum is σ = 1900953600. Its totient is φ = 141087744.

The previous prime is 525377663. The next prime is 525377669. The reversal of 525377664 is 466773525.

525377664 is a `hidden beast` number, since 52 + 537 + 7 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525377663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4136769 + ... + 4136895.

It is an arithmetic number, because the mean of its divisors is an integer number (4950400).

Almost surely, 2^525377664 is an apocalyptic number.

525377664 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 525377664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950476800).

525377664 is an abundant number, since it is smaller than the sum of its proper divisors (1375575936).

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

525377664 is a wasteful number, since it uses less digits than its factorization.

525377664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 158 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The square root of 525377664 is about 22921.1182973257. The cubic root of 525377664 is about 806.9077159851.

The spelling of 525377664 in words is "five hundred twenty-five million, three hundred seventy-seven thousand, six hundred sixty-four".