525389760 has 672 divisors, whose sum is σ = 2314163520. Its totient is φ = 111476736.

The previous prime is 525389731. The next prime is 525389791. The reversal of 525389760 is 67983525.

It is a happy number.

525389760 is a `hidden beast` number, since 52 + 538 + 9 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 7197084 + ... + 7197156.

Almost surely, 2^525389760 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 525389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157081760).

525389760 is an abundant number, since it is smaller than the sum of its proper divisors (1788773760).

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

525389760 is a wasteful number, since it uses less digits than its factorization.

525389760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 525389760 is about 22921.3821572784. The cubic root of 525389760 is about 806.9139085341.

The spelling of 525389760 in words is "five hundred twenty-five million, three hundred eighty-nine thousand, seven hundred sixty".