2272977502553 has 2 divisors, whose sum is σ = 2272977502554. Its totient is φ = 2272977502552.

The previous prime is 2272977502391. The next prime is 2272977502639. The reversal of 2272977502553 is 3552057792722.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2151628386649 + 121349115904 = 1466843^2 + 348352^2 .

It is a cyclic number.

It is not a de Polignac number, because 2272977502553 - 2³² = 2268682535257 is a prime.

It is a super-2 number, since 2×2272977502553² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2272977507553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1136488751276 + 1136488751277.

It is an arithmetic number, because the mean of its divisors is an integer number (1136488751277).

Almost surely, 2^{2272977502553} is an apocalyptic number.

It is an amenable number.

2272977502553 is a deficient number, since it is larger than the sum of its proper divisors (1).

2272977502553 is an equidigital number, since it uses as much as digits as its factorization.

2272977502553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18522000, while the sum is 56.

The spelling of 2272977502553 in words is "two trillion, two hundred seventy-two billion, nine hundred seventy-seven million, five hundred two thousand, five hundred fifty-three".