253015291144 has 192 divisors, whose sum is σ = 613646167680. Its totient is φ = 95663462400.

The previous prime is 253015291129. The next prime is 253015291153. The reversal of 253015291144 is 441192510352.

253015291144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117081424 + ... + 117083584.

It is an arithmetic number, because the mean of its divisors is an integer number (3196073790).

Almost surely, 2^253015291144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253015291144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306823083840).

253015291144 is an abundant number, since it is smaller than the sum of its proper divisors (360630876536).

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

253015291144 is a wasteful number, since it uses less digits than its factorization.

253015291144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 253015291144 in words is "two hundred fifty-three billion, fifteen million, two hundred ninety-one thousand, one hundred forty-four".