2585041633 has 2 divisors, whose sum is σ = 2585041634. Its totient is φ = 2585041632.

The previous prime is 2585041577. The next prime is 2585041639. The reversal of 2585041633 is 3361405852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1619821009 + 965220624 = 40247^2 + 31068^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585041633 - 2²⁵ = 2551487201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2585041592 and 2585041601.

It is not a weakly prime, because it can be changed into another prime (2585041639) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292520816 + 1292520817.

It is an arithmetic number, because the mean of its divisors is an integer number (1292520817).

Almost surely, 2^2585041633 is an apocalyptic number.

It is an amenable number.

2585041633 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585041633 is an equidigital number, since it uses as much as digits as its factorization.

2585041633 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 2585041633 is about 50843.3047017992. The cubic root of 2585041633 is about 1372.4267700363.

The spelling of 2585041633 in words is "two billion, five hundred eighty-five million, forty-one thousand, six hundred thirty-three".