5113311145152 has 224 divisors, whose sum is σ = 15511782113280. Its totient is φ = 1456220021760.

The previous prime is 5113311145127. The next prime is 5113311145177. The reversal of 5113311145152 is 2515411133115.

It is an interprime number because it is at equal distance from previous prime (5113311145127) and next prime (5113311145177).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×5113311145152² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548692749 + ... + 548702067.

Almost surely, 2^{5113311145152} 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 5113311145152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7755891056640).

5113311145152 is an abundant number, since it is smaller than the sum of its proper divisors (10398470968128).

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

5113311145152 is a wasteful number, since it uses less digits than its factorization.

5113311145152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10619 (or 10609 counting only the distinct ones).

The product of its digits is 9000, while the sum is 33.

Adding to 5113311145152 its reverse (2515411133115), we get a palindrome (7628722278267).

The spelling of 5113311145152 in words is "five trillion, one hundred thirteen billion, three hundred eleven million, one hundred forty-five thousand, one hundred fifty-two".