253303303352 has 64 divisors (see below), whose sum is σ = 554634000000. Its totient is φ = 107229156480.

The previous prime is 253303303301. The next prime is 253303303427.

253303303352 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×253303303352³ (a number of 35 digits) contains 333 as substring.

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, 1185227 + ... + 1382522.

It is an arithmetic number, because the mean of its divisors is an integer number (8666156250).

Almost surely, 2^253303303352 is an apocalyptic number.

253303303352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

253303303352 is an abundant number, since it is smaller than the sum of its proper divisors (301330696648).

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

253303303352 is a wasteful number, since it uses less digits than its factorization.

253303303352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567844 (or 2567840 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 32.

It can be divided in two parts, 253303 and 303352, that added together give a palindrome (556655).

The spelling of 253303303352 in words is "two hundred fifty-three billion, three hundred three million, three hundred three thousand, three hundred fifty-two".