653759570916 has 81 divisors (see below), whose sum is σ = 1755707944809. Its totient is φ = 205075168128.

The previous prime is 653759570881. The next prime is 653759570929. The reversal of 653759570916 is 619075957356.

The square root of 653759570916 is 808554.

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

653759570916 is a `hidden beast` number, since 6 + 5 + 3 + 7 + 59 + 570 + 9 + 1 + 6 = 666.

653759570916 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 508982364900 + 144777206016 = 713430^2 + 380496^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 82468545 + ... + 82476471.

Almost surely, 2^653759570916 is an apocalyptic number.

653759570916 is the 808554-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653759570916

653759570916 is an abundant number, since it is smaller than the sum of its proper divisors (1101948373893).

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

653759570916 is an equidigital number, since it uses as much as digits as its factorization.

653759570916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15898 (or 7949 counting only the distinct ones).

The product of its (nonzero) digits is 53581500, while the sum is 63.

The spelling of 653759570916 in words is "six hundred fifty-three billion, seven hundred fifty-nine million, five hundred seventy thousand, nine hundred sixteen".