253155013344 has 144 divisors (see below), whose sum is σ = 723616966800. Its totient is φ = 83951628288.

The previous prime is 253155013339. The next prime is 253155013369. The reversal of 253155013344 is 443310551352.

253155013344 is a `hidden beast` number, since 2 + 5 + 31 + 550 + 1 + 33 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 253155013299 and 253155013308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46938712 + ... + 46944104.

It is an arithmetic number, because the mean of its divisors is an integer number (5025117825).

Almost surely, 2^253155013344 is an apocalyptic number.

253155013344 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 253155013344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361808483400).

253155013344 is an abundant number, since it is smaller than the sum of its proper divisors (470461953456).

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

253155013344 is a wasteful number, since it uses less digits than its factorization.

253155013344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6217 (or 6206 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 253155013344 its reverse (443310551352), we get a palindrome (696465564696).

The spelling of 253155013344 in words is "two hundred fifty-three billion, one hundred fifty-five million, thirteen thousand, three hundred forty-four".