5153513005344 has 192 divisors, whose sum is σ = 14965093398528. Its totient is φ = 1539863808000.

The previous prime is 5153513005321. The next prime is 5153513005349. The reversal of 5153513005344 is 4435003153515.

It is not an unprimeable number, because it can be changed into a prime (5153513005349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25241269 + ... + 25444619.

It is an arithmetic number, because the mean of its divisors is an integer number (77943194784).

Almost surely, 2^{5153513005344} 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 5153513005344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7482546699264).

5153513005344 is an abundant number, since it is smaller than the sum of its proper divisors (9811580393184).

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

5153513005344 is a wasteful number, since it uses less digits than its factorization.

5153513005344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203711 (or 203703 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 39.

Adding to 5153513005344 its reverse (4435003153515), we get a palindrome (9588516158859).

The spelling of 5153513005344 in words is "five trillion, one hundred fifty-three billion, five hundred thirteen million, five thousand, three hundred forty-four".