2505832083 has 24 divisors (see below), whose sum is σ = 3898752000. Its totient is φ = 1546372080.

The previous prime is 2505832051. The next prime is 2505832111. The reversal of 2505832083 is 3802385052.

2505832083 is a `hidden beast` number, since 2 + 50 + 583 + 20 + 8 + 3 = 666.

It is not a de Polignac number, because 2505832083 - 2⁵ = 2505832051 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2505832033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188833 + ... + 201666.

It is an arithmetic number, because the mean of its divisors is an integer number (162448000).

Almost surely, 2^2505832083 is an apocalyptic number.

2505832083 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2505832083 is a deficient number, since it is larger than the sum of its proper divisors (1392919917).

2505832083 is a wasteful number, since it uses less digits than its factorization.

2505832083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390559 (or 390556 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2505832083 is about 50058.2868564237. The cubic root of 2505832083 is about 1358.2633692729.

The spelling of 2505832083 in words is "two billion, five hundred five million, eight hundred thirty-two thousand, eighty-three".