2583131138 has 12 divisors (see below), whose sum is σ = 4507300422. Its totient is φ = 1107056160.

The previous prime is 2583131137. The next prime is 2583131143. The reversal of 2583131138 is 8311313852.

2583131138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2345755489 + 237375649 = 48433^2 + 15407^2 .

It is a super-2 number, since 2×2583131138² = 13345132952210350088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2583131098 and 2583131107.

It is not an unprimeable number, because it can be changed into a prime (2583131137) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13179143 + ... + 13179338.

Almost surely, 2^2583131138 is an apocalyptic number.

2583131138 is a deficient number, since it is larger than the sum of its proper divisors (1924169284).

2583131138 is a wasteful number, since it uses less digits than its factorization.

2583131138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26358497 (or 26358490 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The square root of 2583131138 is about 50824.5131604819. The cubic root of 2583131138 is about 1372.0885858392.

The spelling of 2583131138 in words is "two billion, five hundred eighty-three million, one hundred thirty-one thousand, one hundred thirty-eight".