5015306502144 has 315 divisors, whose sum is σ = 15045911283403. Its totient is φ = 1671768834048.

The previous prime is 5015306502007. The next prime is 5015306502169. The reversal of 5015306502144 is 4412056035105.

The square root of 5015306502144 is 2239488.

It is a perfect power (a square), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)³ ⋅ (3!)¹¹.

5015306502144 is a `hidden beast` number, since 5 + 0 + 1 + 5 + 3 + 0 + 6 + 502 + 144 = 666.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5015306502099 and 5015306502108.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1671768834047 + 1671768834048 + 1671768834049.

Almost surely, 2^{5015306502144} is an apocalyptic number.

5015306502144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5015306502144 is the 2239488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5015306502144

5015306502144 is an abundant number, since it is smaller than the sum of its proper divisors (10030604781259).

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

5015306502144 is an frugal number, since it uses more digits than its factorization.

5015306502144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Multiplying 5015306502144 by its sum of digits (36), we get a square (180551034077184 = 13436928²).

5015306502144 divided by its sum of digits (36) gives a 6-th power (139314069504 = 72⁶).

The spelling of 5015306502144 in words is "five trillion, fifteen billion, three hundred six million, five hundred two thousand, one hundred forty-four".