535519531264 has 27 divisors (see below), whose sum is σ = 1068970561477. Its totient is φ = 267753911296.

The previous prime is 535519531237. The next prime is 535519531289. The reversal of 535519531264 is 462135915535.

The square root of 535519531264 is 731792.

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

It can be written as a sum of positive squares in only one way, i.e., 123622560000 + 411896971264 = 351600^2 + 641792^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 11685804 + ... + 11731540.

Almost surely, 2^535519531264 is an apocalyptic number.

535519531264 is the 731792-nd square number.

It is an amenable number.

535519531264 is a deficient number, since it is larger than the sum of its proper divisors (533451030213).

535519531264 is an frugal number, since it uses more digits than its factorization.

535519531264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91490 (or 45739 counting only the distinct ones).

The product of its digits is 2430000, while the sum is 49.

Multiplying 535519531264 by its sum of digits (49), we get a square (26240457031936 = 5122544²).

The spelling of 535519531264 in words is "five hundred thirty-five billion, five hundred nineteen million, five hundred thirty-one thousand, two hundred sixty-four".