2585200153 has 2 divisors, whose sum is σ = 2585200154. Its totient is φ = 2585200152.

The previous prime is 2585200139. The next prime is 2585200171. The reversal of 2585200153 is 3510025852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1546298329 + 1038901824 = 39323^2 + 32232^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585200153 - 2²⁵ = 2551645721 is a prime.

It is not a weakly prime, because it can be changed into another prime (2585206153) 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, 1292600076 + 1292600077.

It is an arithmetic number, because the mean of its divisors is an integer number (1292600077).

Almost surely, 2^2585200153 is an apocalyptic number.

It is an amenable number.

2585200153 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585200153 is an equidigital number, since it uses as much as digits as its factorization.

2585200153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12000, while the sum is 31.

The square root of 2585200153 is about 50844.8635852236. The cubic root of 2585200153 is about 1372.4548227947.

The spelling of 2585200153 in words is "two billion, five hundred eighty-five million, two hundred thousand, one hundred fifty-three".