253385583352 has 64 divisors (see below), whose sum is σ = 523868083200. Its totient is φ = 113937360000.

The previous prime is 253385583337. The next prime is 253385583359.

253385583352 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 253385583352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253385583359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10929549 + ... + 10952707.

It is an arithmetic number, because the mean of its divisors is an integer number (8185438800).

Almost surely, 2^253385583352 is an apocalyptic number.

253385583352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253385583352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261934041600).

253385583352 is an abundant number, since it is smaller than the sum of its proper divisors (270482499848).

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

253385583352 is a wasteful number, since it uses less digits than its factorization.

253385583352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24508 (or 24504 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 52.

The spelling of 253385583352 in words is "two hundred fifty-three billion, three hundred eighty-five million, five hundred eighty-three thousand, three hundred fifty-two".