525607632 has 240 divisors, whose sum is σ = 1723550400. Its totient is φ = 147763200.

The previous prime is 525607631. The next prime is 525607633. The reversal of 525607632 is 236706525.

It is a happy number.

525607632 is a `hidden beast` number, since 525 + 60 + 76 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (525607631) and next prime (525607633).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525607631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3527494 + ... + 3527642.

It is an arithmetic number, because the mean of its divisors is an integer number (7181460).

Almost surely, 2^525607632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525607632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861775200).

525607632 is an abundant number, since it is smaller than the sum of its proper divisors (1197942768).

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

525607632 is a wasteful number, since it uses less digits than its factorization.

525607632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 525607632 is about 22926.1342576545. The cubic root of 525607632 is about 807.0254318671.

The spelling of 525607632 in words is "five hundred twenty-five million, six hundred seven thousand, six hundred thirty-two".