2585088137 has 2 divisors, whose sum is σ = 2585088138. Its totient is φ = 2585088136.

The previous prime is 2585088133. The next prime is 2585088161. The reversal of 2585088137 is 7318805852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2218786816 + 366301321 = 47104^2 + 19139^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585088137 - 2² = 2585088133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2585088091 and 2585088100.

It is not a weakly prime, because it can be changed into another prime (2585088133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292544068 + 1292544069.

It is an arithmetic number, because the mean of its divisors is an integer number (1292544069).

Almost surely, 2^2585088137 is an apocalyptic number.

It is an amenable number.

2585088137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585088137 is an equidigital number, since it uses as much as digits as its factorization.

2585088137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 537600, while the sum is 47.

The square root of 2585088137 is about 50843.7620264276. The cubic root of 2585088137 is about 1372.4349998138.

The spelling of 2585088137 in words is "two billion, five hundred eighty-five million, eighty-eight thousand, one hundred thirty-seven".