2509088401 has 2 divisors, whose sum is σ = 2509088402. Its totient is φ = 2509088400.

The previous prime is 2509088389. The next prime is 2509088479. The reversal of 2509088401 is 1048809052.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2012868225 + 496220176 = 44865^2 + 22276^2 .

It is a cyclic number.

It is not a de Polignac number, because 2509088401 - 2²⁵ = 2475533969 is a prime.

It is not a weakly prime, because it can be changed into another prime (2509058401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1254544200 + 1254544201.

It is an arithmetic number, because the mean of its divisors is an integer number (1254544201).

Almost surely, 2^2509088401 is an apocalyptic number.

It is an amenable number.

2509088401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2509088401 is an equidigital number, since it uses as much as digits as its factorization.

2509088401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 2509088401 is about 50090.8015607656. The cubic root of 2509088401 is about 1358.8514670691.

The spelling of 2509088401 in words is "two billion, five hundred nine million, eighty-eight thousand, four hundred one".