2583795401 has 12 divisors (see below), whose sum is σ = 2871962100. Its totient is φ = 2322503040.

The previous prime is 2583795373. The next prime is 2583795451. The reversal of 2583795401 is 1045973852.

It can be written as a sum of positive squares in 2 ways, for example, as 594189376 + 1989606025 = 24376^2 + 44605^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2583795401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2583795451) 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 in 11 ways as a sum of consecutive naturals, for example, 109196 + ... + 130733.

It is an arithmetic number, because the mean of its divisors is an integer number (239330175).

Almost surely, 2^2583795401 is an apocalyptic number.

It is an amenable number.

2583795401 is a deficient number, since it is larger than the sum of its proper divisors (288166699).

2583795401 is a wasteful number, since it uses less digits than its factorization.

2583795401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240040 (or 240029 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The square root of 2583795401 is about 50831.0476087204. The cubic root of 2583795401 is about 1372.2061885362.

The spelling of 2583795401 in words is "two billion, five hundred eighty-three million, seven hundred ninety-five thousand, four hundred one".