253137731352 has 128 divisors (see below), whose sum is σ = 714456633600. Its totient is φ = 74034777600.

The previous prime is 253137731347. The next prime is 253137731393.

253137731352 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×253137731352² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27840327 + ... + 27849417.

It is an arithmetic number, because the mean of its divisors is an integer number (5581692450).

Almost surely, 2^253137731352 is an apocalyptic number.

253137731352 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 253137731352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357228316800).

253137731352 is an abundant number, since it is smaller than the sum of its proper divisors (461318902248).

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

253137731352 is a wasteful number, since it uses less digits than its factorization.

253137731352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12777 (or 12773 counting only the distinct ones).

The product of its digits is 396900, while the sum is 42.

It can be divided in two parts, 253137 and 731352, that added together give a palindrome (984489).

The spelling of 253137731352 in words is "two hundred fifty-three billion, one hundred thirty-seven million, seven hundred thirty-one thousand, three hundred fifty-two".