2588253697 has 2 divisors, whose sum is σ = 2588253698. Its totient is φ = 2588253696.

The previous prime is 2588253677. The next prime is 2588253719. The reversal of 2588253697 is 7963528852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2063339776 + 524913921 = 45424^2 + 22911^2 .

It is a cyclic number.

It is not a de Polignac number, because 2588253697 - 2²³ = 2579865089 is a prime.

It is not a weakly prime, because it can be changed into another prime (2588253677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1294126848 + 1294126849.

It is an arithmetic number, because the mean of its divisors is an integer number (1294126849).

Almost surely, 2^2588253697 is an apocalyptic number.

It is an amenable number.

2588253697 is a deficient number, since it is larger than the sum of its proper divisors (1).

2588253697 is an equidigital number, since it uses as much as digits as its factorization.

2588253697 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7257600, while the sum is 55.

The square root of 2588253697 is about 50874.8827713637. The cubic root of 2588253697 is about 1372.9949746845.

It can be divided in two parts, 2588253 and 697, that added together give a triangular number (2588950 = T₂₂₇₅).

The spelling of 2588253697 in words is "two billion, five hundred eighty-eight million, two hundred fifty-three thousand, six hundred ninety-seven".