525800413632 has 224 divisors, whose sum is σ = 1612336428864. Its totient is φ = 149771059200.

The previous prime is 525800413591. The next prime is 525800413643. The reversal of 525800413632 is 236314008525.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 2486782 + ... + 2689922.

It is an arithmetic number, because the mean of its divisors is an integer number (7197930486).

Almost surely, 2^525800413632 is an apocalyptic number.

525800413632 is a gapful number since it is divisible by the number (52) 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 525800413632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806168214432).

525800413632 is an abundant number, since it is smaller than the sum of its proper divisors (1086536015232).

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

525800413632 is a wasteful number, since it uses less digits than its factorization.

525800413632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203247 (or 203237 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 525800413632 in words is "five hundred twenty-five billion, eight hundred million, four hundred thirteen thousand, six hundred thirty-two".