5130307827567 has 32 divisors (see below), whose sum is σ = 8244851885760. Its totient is φ = 3134067863040.

The previous prime is 5130307827529. The next prime is 5130307827583. The reversal of 5130307827567 is 7657287030315.

It is a happy number.

5130307827567 is a `hidden beast` number, since 5 + 1 + 3 + 0 + 3 + 0 + 78 + 2 + 7 + 567 = 666.

It is not a de Polignac number, because 5130307827567 - 2⁶ = 5130307827503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5130307827517) 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, 53295934 + ... + 53392107.

It is an arithmetic number, because the mean of its divisors is an integer number (257651621430).

Almost surely, 2^{5130307827567} is an apocalyptic number.

5130307827567 is a deficient number, since it is larger than the sum of its proper divisors (3114544058193).

5130307827567 is a wasteful number, since it uses less digits than its factorization.

5130307827567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106688200 (or 106688194 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 5130307827567 in words is "five trillion, one hundred thirty billion, three hundred seven million, eight hundred twenty-seven thousand, five hundred sixty-seven".