527371264 has 176 divisors, whose sum is σ = 1296979200. Its totient is φ = 209534976.

The previous prime is 527371261. The next prime is 527371279. The reversal of 527371264 is 462173725.

It is a happy number.

Its product of digits (70560) is a multiple of the sum of its prime divisors (140).

It is not an unprimeable number, because it can be changed into a prime (527371261) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8938467 + ... + 8938525.

It is an arithmetic number, because the mean of its divisors is an integer number (7369200).

Almost surely, 2^527371264 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 527371264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648489600).

527371264 is an abundant number, since it is smaller than the sum of its proper divisors (769607936).

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

527371264 is a wasteful number, since it uses less digits than its factorization.

527371264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 140 counting only the distinct ones).

The product of its digits is 70560, while the sum is 37.

The square root of 527371264 is about 22964.5653997632. The cubic root of 527371264 is about 807.9270593896.

The spelling of 527371264 in words is "five hundred twenty-seven million, three hundred seventy-one thousand, two hundred sixty-four".