253386683352 has 64 divisors (see below), whose sum is σ = 767838441600. Its totient is φ = 76783842720.

The previous prime is 253386683327. The next prime is 253386683377.

253386683352 is a `hidden beast` number, since 253 + 38 + 6 + 6 + 8 + 3 + 352 = 666.

253386683352 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (253386683327) and next prime (253386683377).

It is a super-2 number, since 2×253386683352² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53319738 + ... + 53324489.

It is an arithmetic number, because the mean of its divisors is an integer number (11997475650).

Almost surely, 2^253386683352 is an apocalyptic number.

253386683352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

253386683352 is an abundant number, since it is smaller than the sum of its proper divisors (514451758248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253386683352 is a wasteful number, since it uses less digits than its factorization.

253386683352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106644253 (or 106644243 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 253386683352 in words is "two hundred fifty-three billion, three hundred eighty-six million, six hundred eighty-three thousand, three hundred fifty-two".