520637288704 has 81 divisors (see below), whose sum is σ = 1125656285103. Its totient is φ = 240224864256.

The previous prime is 520637288693. The next prime is 520637288707. The reversal of 520637288704 is 407882736025.

It is a happy number.

The square root of 520637288704 is 721552.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 372295225600 + 148342063104 = 610160^2 + 385152^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (520637288707) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 150081082 + ... + 150084550.

Almost surely, 2^520637288704 is an apocalyptic number.

520637288704 is the 721552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520637288704

520637288704 is an abundant number, since it is smaller than the sum of its proper divisors (605018996399).

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

520637288704 is an frugal number, since it uses more digits than its factorization.

520637288704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6980 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 52.

The spelling of 520637288704 in words is "five hundred twenty billion, six hundred thirty-seven million, two hundred eighty-eight thousand, seven hundred four".