527311872 has 132 divisors (see below), whose sum is σ = 1575903420. Its totient is φ = 169623552.

The previous prime is 527311871. The next prime is 527311879. The reversal of 527311872 is 278113725.

It can be written as a sum of positive squares in 2 ways, for example, as 191102976 + 336208896 = 13824^2 + 18336^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (527311871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 266278 + ... + 268250.

Almost surely, 2^527311872 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 527311872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787951710).

527311872 is an abundant number, since it is smaller than the sum of its proper divisors (1048591548).

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

527311872 is a wasteful number, since it uses less digits than its factorization.

527311872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2007 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 527311872 is about 22963.2722406890. The cubic root of 527311872 is about 807.8967289509.

The spelling of 527311872 in words is "five hundred twenty-seven million, three hundred eleven thousand, eight hundred seventy-two".