1316310961 has 27 divisors (see below), whose sum is σ = 1574655723. Its totient is φ = 1097137440.

The previous prime is 1316310959. The next prime is 1316310991. The reversal of 1316310961 is 1690136131.

The square root of 1316310961 is 36281.

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., 747202225 + 569108736 = 27335^2 + 23856^2 .

It is not a de Polignac number, because 1316310961 - 2¹ = 1316310959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1316310991) 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, 18031621 + ... + 18031693.

Almost surely, 2^1316310961 is an apocalyptic number.

1316310961 is the 36281-st square number.

1316310961 is the 18141-st centered octagonal number.

It is an amenable number.

1316310961 is a deficient number, since it is larger than the sum of its proper divisors (258344762).

1316310961 is an frugal number, since it uses more digits than its factorization.

1316310961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The cubic root of 1316310961 is about 1095.9384547397.

Multiplying 1316310961 by its product of nonzero digits (2916), we get a square (3838362762276 = 1959174²).

The spelling of 1316310961 in words is "one billion, three hundred sixteen million, three hundred ten thousand, nine hundred sixty-one".