2553617657 has 2 divisors, whose sum is σ = 2553617658. Its totient is φ = 2553617656.

The previous prime is 2553617587. The next prime is 2553617663. The reversal of 2553617657 is 7567163552.

2553617657 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 can be written as a sum of positive squares in only one way, i.e., 2513117161 + 40500496 = 50131^2 + 6364^2 .

It is a cyclic number.

It is not a de Polignac number, because 2553617657 - 2¹⁶ = 2553552121 is a prime.

It is not a weakly prime, because it can be changed into another prime (2553617257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1276808828 + 1276808829.

It is an arithmetic number, because the mean of its divisors is an integer number (1276808829).

Almost surely, 2^2553617657 is an apocalyptic number.

It is an amenable number.

2553617657 is a deficient number, since it is larger than the sum of its proper divisors (1).

2553617657 is an equidigital number, since it uses as much as digits as its factorization.

2553617657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1323000, while the sum is 47.

The square root of 2553617657 is about 50533.3321383025. The cubic root of 2553617657 is about 1366.8429724231.

The spelling of 2553617657 in words is "two billion, five hundred fifty-three million, six hundred seventeen thousand, six hundred fifty-seven".