1313772516 has 81 divisors (see below), whose sum is σ = 3867598371. Its totient is φ = 374928624.

The previous prime is 1313772487. The next prime is 1313772517. The reversal of 1313772516 is 6152773131.

The square root of 1313772516 is 36246.

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

1313772516 is a `hidden beast` number, since 1 + 3 + 137 + 7 + 2 + 516 = 666.

1313772516 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1313772517) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1521901 + ... + 1522763.

Almost surely, 2^1313772516 is an apocalyptic number.

1313772516 is the 36246-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313772516

1313772516 is an abundant number, since it is smaller than the sum of its proper divisors (2553825855).

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

1313772516 is an equidigital number, since it uses as much as digits as its factorization.

1313772516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 875 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The cubic root of 1313772516 is about 1095.2335124685.

Multiplying 1313772516 by its sum of digits (36), we get a square (47295810576 = 217476²).

1313772516 divided by its sum of digits (36) gives a square (36493681 = 6041²).

The spelling of 1313772516 in words is "one billion, three hundred thirteen million, seven hundred seventy-two thousand, five hundred sixteen".