2553617257 has 2 divisors, whose sum is σ = 2553617258. Its totient is φ = 2553617256.

The previous prime is 2553617237. The next prime is 2553617299. The reversal of 2553617257 is 7527163552.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1466200681 + 1087416576 = 38291^2 + 32976^2 .

It is a cyclic number.

It is not a de Polignac number, because 2553617257 - 2²⁷ = 2419399529 is a prime.

It is a super-2 number, since 2×2553617257² = 13041922190496408098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2553617237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1276808628 + 1276808629.

It is an arithmetic number, because the mean of its divisors is an integer number (1276808629).

Almost surely, 2^2553617257 is an apocalyptic number.

It is an amenable number.

2553617257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2553617257 is an equidigital number, since it uses as much as digits as its factorization.

2553617257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 441000, while the sum is 43.

The square root of 2553617257 is about 50533.3281805186. The cubic root of 2553617257 is about 1366.8429010554.

The spelling of 2553617257 in words is "two billion, five hundred fifty-three million, six hundred seventeen thousand, two hundred fifty-seven".