526512960 has 392 divisors, whose sum is σ = 1962232296. Its totient is φ = 134369280.

The previous prime is 526512953. The next prime is 526512977. The reversal of 526512960 is 69215625.

526512960 is a `hidden beast` number, since 52 + 6 + 512 + 96 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31539456 + 494973504 = 5616^2 + 22248^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8631330 + ... + 8631390.

Almost surely, 2^526512960 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 526512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981116148).

526512960 is an abundant number, since it is smaller than the sum of its proper divisors (1435719336).

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

526512960 is an equidigital number, since it uses as much as digits as its factorization.

526512960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 526512960 is about 22945.8702166643. The cubic root of 526512960 is about 807.4885172512.

It can be divided in two parts, 52651 and 2960, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 526512960 in words is "five hundred twenty-six million, five hundred twelve thousand, nine hundred sixty".