525026880 has 224 divisors, whose sum is σ = 2117018880. Its totient is φ = 119992320.

The previous prime is 525026857. The next prime is 525026893. The reversal of 525026880 is 88620525.

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

It is a super-3 number, since 3×525026880³ (a number of 27 digits) contains 333 as substring.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 56140 + ... + 64820.

Almost surely, 2^525026880 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 525026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058509440).

525026880 is an abundant number, since it is smaller than the sum of its proper divisors (1591992000).

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

525026880 is a wasteful number, since it uses less digits than its factorization.

525026880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8714 (or 8698 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 525026880 is about 22913.4650369603. The cubic root of 525026880 is about 806.7280907018.

The spelling of 525026880 in words is "five hundred twenty-five million, twenty-six thousand, eight hundred eighty".