2583934993 has 2 divisors, whose sum is σ = 2583934994. Its totient is φ = 2583934992.

The previous prime is 2583934987. The next prime is 2583935047. The reversal of 2583934993 is 3994393852.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2582367489 + 1567504 = 50817^2 + 1252^2 .

It is a cyclic number.

It is not a de Polignac number, because 2583934993 - 2⁵ = 2583934961 is a prime.

It is a super-3 number, since 3×2583934993³ (a number of 29 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2583434993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1291967496 + 1291967497.

It is an arithmetic number, because the mean of its divisors is an integer number (1291967497).

Almost surely, 2^2583934993 is an apocalyptic number.

It is an amenable number.

2583934993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2583934993 is an equidigital number, since it uses as much as digits as its factorization.

2583934993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6298560, while the sum is 55.

The square root of 2583934993 is about 50832.4206879822. The cubic root of 2583934993 is about 1372.2308996720.

The spelling of 2583934993 in words is "two billion, five hundred eighty-three million, nine hundred thirty-four thousand, nine hundred ninety-three".