253452253344 has 96 divisors (see below), whose sum is σ = 671661559296. Its totient is φ = 83681068800.

The previous prime is 253452253333. The next prime is 253452253361. The reversal of 253452253344 is 443352254352.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×253452253344³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 253452253296 and 253452253305.

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, 5004919 + ... + 5055305.

It is an arithmetic number, because the mean of its divisors is an integer number (6996474576).

Almost surely, 2^253452253344 is an apocalyptic number.

253452253344 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 253452253344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335830779648).

253452253344 is an abundant number, since it is smaller than the sum of its proper divisors (418209305952).

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

253452253344 is a wasteful number, since it uses less digits than its factorization.

253452253344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50898 (or 50890 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 42.

The spelling of 253452253344 in words is "two hundred fifty-three billion, four hundred fifty-two million, two hundred fifty-three thousand, three hundred forty-four".