2553817583 has 2 divisors, whose sum is σ = 2553817584. Its totient is φ = 2553817582.

The previous prime is 2553817559. The next prime is 2553817597. The reversal of 2553817583 is 3857183552.

2553817583 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2553817583 - 2¹⁴ = 2553801199 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2553811583) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1276908791 + 1276908792.

It is an arithmetic number, because the mean of its divisors is an integer number (1276908792).

Almost surely, 2^2553817583 is an apocalyptic number.

2553817583 is a deficient number, since it is larger than the sum of its proper divisors (1).

2553817583 is an equidigital number, since it uses as much as digits as its factorization.

2553817583 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1008000, while the sum is 47.

The square root of 2553817583 is about 50535.3102592633. The cubic root of 2553817583 is about 1366.8786421217.

The spelling of 2553817583 in words is "two billion, five hundred fifty-three million, eight hundred seventeen thousand, five hundred eighty-three".