253252153344 has 104 divisors (see below), whose sum is σ = 675577560112. Its totient is φ = 84377272320.

The previous prime is 253252153337. The next prime is 253252153351. The reversal of 253252153344 is 443351252352.

It is an interprime number because it is at equal distance from previous prime (253252153337) and next prime (253252153351).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37610202 + ... + 37616934.

It is an arithmetic number, because the mean of its divisors is an integer number (6495938078).

Almost surely, 2^253252153344 is an apocalyptic number.

253252153344 is a gapful number since it is divisible by the number (24) 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 253252153344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337788780056).

253252153344 is an abundant number, since it is smaller than the sum of its proper divisors (422325406768).

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

253252153344 is an equidigital number, since it uses as much as digits as its factorization.

253252153344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9821 (or 9799 counting only the distinct ones).

The product of its digits is 432000, while the sum is 39.

The spelling of 253252153344 in words is "two hundred fifty-three billion, two hundred fifty-two million, one hundred fifty-three thousand, three hundred forty-four".