253105983 has 24 divisors (see below), whose sum is σ = 399278880. Its totient is φ = 153558720.

The previous prime is 253105949. The next prime is 253105991. The reversal of 253105983 is 389501352.

253105983 is a `hidden beast` number, since 2 + 53 + 10 + 598 + 3 = 666.

It is not a de Polignac number, because 253105983 - 2²⁴ = 236328767 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253105903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6928 + ... + 23541.

It is an arithmetic number, because the mean of its divisors is an integer number (16636620).

Almost surely, 2^253105983 is an apocalyptic number.

253105983 is a deficient number, since it is larger than the sum of its proper divisors (146172897).

253105983 is a wasteful number, since it uses less digits than its factorization.

253105983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30559 (or 30556 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 253105983 is about 15909.3049188203. The cubic root of 253105983 is about 632.5586570398.

The spelling of 253105983 in words is "two hundred fifty-three million, one hundred five thousand, nine hundred eighty-three".