2585688825053 has 2 divisors, whose sum is σ = 2585688825054. Its totient is φ = 2585688825052.

The previous prime is 2585688825029. The next prime is 2585688825061. The reversal of 2585688825053 is 3505288865852.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2207251005124 + 378437819929 = 1485682^2 + 615173^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585688825053 - 2¹⁸ = 2585688562909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2585688825553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292844412526 + 1292844412527.

It is an arithmetic number, because the mean of its divisors is an integer number (1292844412527).

Almost surely, 2^{2585688825053} is an apocalyptic number.

It is an amenable number.

2585688825053 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585688825053 is an equidigital number, since it uses as much as digits as its factorization.

2585688825053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 184320000, while the sum is 65.

The spelling of 2585688825053 in words is "two trillion, five hundred eighty-five billion, six hundred eighty-eight million, eight hundred twenty-five thousand, fifty-three".