2549511564961 has 27 divisors (see below), whose sum is σ = 2652534048177. Its totient is φ = 2450452714920.

The previous prime is 2549511564931. The next prime is 2549511564967. The reversal of 2549511564961 is 1694651159452.

The square root of 2549511564961 is 1596719.

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

2549511564961 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2549511564961 - 2¹³ = 2549511556769 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2549511564896 and 2549511564905.

It is not an unprimeable number, because it can be changed into a prime (2549511564967) 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, 4874782846 + ... + 4874783368.

Almost surely, 2^{2549511564961} is an apocalyptic number.

2549511564961 is the 1596719-th square number.

2549511564961 is the 798360-th centered octagonal number.

It is an amenable number.

2549511564961 is a deficient number, since it is larger than the sum of its proper divisors (103022483216).

2549511564961 is an frugal number, since it uses more digits than its factorization.

2549511564961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 637 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 58.

The spelling of 2549511564961 in words is "two trillion, five hundred forty-nine billion, five hundred eleven million, five hundred sixty-four thousand, nine hundred sixty-one".