253131879 has 96 divisors (see below), whose sum is σ = 467138560. Its totient is φ = 118609920.

The previous prime is 253131877. The next prime is 253131913. The reversal of 253131879 is 978131352.

It is not a de Polignac number, because 253131879 - 2¹ = 253131877 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (45360) is a multiple of the sum of its prime divisors (210).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253131877) 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 95 ways as a sum of consecutive naturals, for example, 2609559 + ... + 2609655.

Almost surely, 2^253131879 is an apocalyptic number.

253131879 is a deficient number, since it is larger than the sum of its proper divisors (214006681).

253131879 is a wasteful number, since it uses less digits than its factorization.

253131879 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 210 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 253131879 is about 15910.1187613418. The cubic root of 253131879 is about 632.5802292684.

The spelling of 253131879 in words is "two hundred fifty-three million, one hundred thirty-one thousand, eight hundred seventy-nine".