2311254318961 has 27 divisors (see below), whose sum is σ = 2717819110539. Its totient is φ = 1959775993728.

The previous prime is 2311254318941. The next prime is 2311254319007. The reversal of 2311254318961 is 1698134521132.

The square root of 2311254318961 is 1520281.

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

2311254318961 is digitally balanced in base 2, because in such base 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., 1037841375025 + 1273412943936 = 1018745^2 + 1128456^2 .

It is not a de Polignac number, because 2311254318961 - 2²³ = 2311245930353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2311254318911) 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, 1032269680 + ... + 1032271918.

It is an arithmetic number, because the mean of its divisors is an integer number (100659967057).

Almost surely, 2^{2311254318961} is an apocalyptic number.

2311254318961 is the 1520281-st square number.

2311254318961 is the 760141-st centered octagonal number.

It is an amenable number.

2311254318961 is a deficient number, since it is larger than the sum of its proper divisors (406564791578).

2311254318961 is an frugal number, since it uses more digits than its factorization.

2311254318961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4686 (or 2343 counting only the distinct ones).

The product of its digits is 311040, while the sum is 46.

The spelling of 2311254318961 in words is "two trillion, three hundred eleven billion, two hundred fifty-four million, three hundred eighteen thousand, nine hundred sixty-one".