71539131024 has 135 divisors (see below), whose sum is σ = 207165064899. Its totient is φ = 23045042880.

The previous prime is 71539131011. The next prime is 71539131049. The reversal of 71539131024 is 42013193517.

The square root of 71539131024 is 267468.

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

71539131024 is a `hidden beast` number, since 7 + 1 + 539 + 13 + 102 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 71539131024.

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, 99497737 + ... + 99498455.

Almost surely, 2^71539131024 is an apocalyptic number.

71539131024 is the 267468-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71539131024

71539131024 is an abundant number, since it is smaller than the sum of its proper divisors (135625933875).

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

71539131024 is an equidigital number, since it uses as much as digits as its factorization.

71539131024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Multiplying 71539131024 by its sum of digits (36), we get a square (2575408716864 = 1604808²).

71539131024 divided by its sum of digits (36) gives a square (1987198084 = 44578²).

The spelling of 71539131024 in words is "seventy-one billion, five hundred thirty-nine million, one hundred thirty-one thousand, twenty-four".