6455253036961 has 27 divisors (see below), whose sum is σ = 6777332970681. Its totient is φ = 6148214767968.

The previous prime is 6455253036901. The next prime is 6455253037031. The reversal of 6455253036961 is 1696303525546.

The square root of 6455253036961 is 2540719.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2262259654561 + 4192993382400 = 1504081^2 + 2047680^2 .

It is not a de Polignac number, because 6455253036961 - 2¹⁷ = 6455252905889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6455253036901) 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, 5820786675 + ... + 5820787783.

Almost surely, 2^{6455253036961} is an apocalyptic number.

6455253036961 is the 2540719-th square number.

6455253036961 is the 1270360-th centered octagonal number.

It is an amenable number.

6455253036961 is a deficient number, since it is larger than the sum of its proper divisors (322079933720).

6455253036961 is an frugal number, since it uses more digits than its factorization.

6455253036961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 17496000, while the sum is 55.

The spelling of 6455253036961 in words is "six trillion, four hundred fifty-five billion, two hundred fifty-three million, thirty-six thousand, nine hundred sixty-one".