5182506315 has 72 divisors (see below), whose sum is σ = 10469262960. Its totient is φ = 2364695424.

The previous prime is 5182506289. The next prime is 5182506341. The reversal of 5182506315 is 5136052815.

It is a happy number.

5182506315 is a `hidden beast` number, since 5 + 18 + 2 + 5 + 0 + 631 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (5182506289) and next prime (5182506341).

It is not a de Polignac number, because 5182506315 - 2⁵ = 5182506283 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5182506315.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1362997 + ... + 1366793.

It is an arithmetic number, because the mean of its divisors is an integer number (145406430).

Almost surely, 2^5182506315 is an apocalyptic number.

5182506315 is an abundant number, since it is smaller than the sum of its proper divisors (5286756645).

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

5182506315 is a wasteful number, since it uses less digits than its factorization.

5182506315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441 (or 4431 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 5182506315 is about 71989.6264402032. The cubic root of 5182506315 is about 1730.5332441306.

The spelling of 5182506315 in words is "five billion, one hundred eighty-two million, five hundred six thousand, three hundred fifteen".