2557953617 has 2 divisors, whose sum is σ = 2557953618. Its totient is φ = 2557953616.

The previous prime is 2557953589. The next prime is 2557953649. The reversal of 2557953617 is 7163597552.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2534518336 + 23435281 = 50344^2 + 4841^2 .

It is a cyclic number.

It is not a de Polignac number, because 2557953617 - 2¹⁸ = 2557691473 is a prime.

It is not a weakly prime, because it can be changed into another prime (2557953217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1278976808 + 1278976809.

It is an arithmetic number, because the mean of its divisors is an integer number (1278976809).

Almost surely, 2^2557953617 is an apocalyptic number.

It is an amenable number.

2557953617 is a deficient number, since it is larger than the sum of its proper divisors (1).

2557953617 is an equidigital number, since it uses as much as digits as its factorization.

2557953617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1984500, while the sum is 50.

The square root of 2557953617 is about 50576.2159221111. The cubic root of 2557953617 is about 1367.6161533286.

The spelling of 2557953617 in words is "two billion, five hundred fifty-seven million, nine hundred fifty-three thousand, six hundred seventeen".