2553220413553 has 2 divisors, whose sum is σ = 2553220413554. Its totient is φ = 2553220413552.

The previous prime is 2553220413511. The next prime is 2553220413617. The reversal of 2553220413553 is 3553140223552.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2412890009104 + 140330404449 = 1553348^2 + 374607^2 .

It is a cyclic number.

It is not a de Polignac number, because 2553220413553 - 2²⁵ = 2553186859121 is a prime.

It is not a weakly prime, because it can be changed into another prime (2553220413253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1276610206776 + 1276610206777.

It is an arithmetic number, because the mean of its divisors is an integer number (1276610206777).

Almost surely, 2^{2553220413553} is an apocalyptic number.

It is an amenable number.

2553220413553 is a deficient number, since it is larger than the sum of its proper divisors (1).

2553220413553 is an equidigital number, since it uses as much as digits as its factorization.

2553220413553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540000, while the sum is 40.

The spelling of 2553220413553 in words is "two trillion, five hundred fifty-three billion, two hundred twenty million, four hundred thirteen thousand, five hundred fifty-three".