526661520 has 160 divisors (see below), whose sum is σ = 2035584000. Its totient is φ = 109432320.

The previous prime is 526661501. The next prime is 526661533. The reversal of 526661520 is 25166625.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4231 + ... + 32729.

It is an arithmetic number, because the mean of its divisors is an integer number (12722400).

Almost surely, 2^526661520 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 526661520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017792000).

526661520 is an abundant number, since it is smaller than the sum of its proper divisors (1508922480).

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

526661520 is a wasteful number, since it uses less digits than its factorization.

526661520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28533 (or 28527 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 526661520 is about 22949.1071721756. The cubic root of 526661520 is about 807.5644566375.

It can be divided in two parts, 5266615 and 20, that added together give a triangular number (5266635 = T₃₂₄₅).

The spelling of 526661520 in words is "five hundred twenty-six million, six hundred sixty-one thousand, five hundred twenty".