525513408 has 224 divisors, whose sum is σ = 1672742400. Its totient is φ = 142442496.

The previous prime is 525513337. The next prime is 525513433. The reversal of 525513408 is 804315525.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3780603 + ... + 3780741.

It is an arithmetic number, because the mean of its divisors is an integer number (7467600).

Almost surely, 2^525513408 is an apocalyptic number.

525513408 is a gapful number since it is divisible by the number (58) 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 525513408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836371200).

525513408 is an abundant number, since it is smaller than the sum of its proper divisors (1147228992).

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

525513408 is a wasteful number, since it uses less digits than its factorization.

525513408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 525513408 is about 22924.0792181496. The cubic root of 525513408 is about 806.9772046954.

The spelling of 525513408 in words is "five hundred twenty-five million, five hundred thirteen thousand, four hundred eight".