527125280 has 96 divisors (see below), whose sum is σ = 1384423488. Its totient is φ = 188032000.

The previous prime is 527125243. The next prime is 527125297. The reversal of 527125280 is 82521725.

It is a happy number.

It is a super-2 number, since 2×527125280² = 555722121630156800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90455 + ... + 96105.

It is an arithmetic number, because the mean of its divisors is an integer number (14421078).

Almost surely, 2^527125280 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 527125280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692211744).

527125280 is an abundant number, since it is smaller than the sum of its proper divisors (857298208).

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

527125280 is a wasteful number, since it uses less digits than its factorization.

527125280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5730 (or 5722 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 527125280 is about 22959.2090456096. The cubic root of 527125280 is about 807.8014249137.

The spelling of 527125280 in words is "five hundred twenty-seven million, one hundred twenty-five thousand, two hundred eighty".