5115105072 has 320 divisors, whose sum is σ = 18398822400. Its totient is φ = 1321816320.

The previous prime is 5115105029. The next prime is 5115105077. The reversal of 5115105072 is 2705015115.

5115105072 is a `hidden beast` number, since 5 + 1 + 151 + 0 + 507 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5115105077) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12207679 + ... + 12208097.

It is an arithmetic number, because the mean of its divisors is an integer number (57496320).

Almost surely, 2^5115105072 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 5115105072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9199411200).

5115105072 is an abundant number, since it is smaller than the sum of its proper divisors (13283717328).

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

5115105072 is a wasteful number, since it uses less digits than its factorization.

5115105072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 27.

The square root of 5115105072 is about 71519.9627516682. The cubic root of 5115105072 is about 1722.9983163373.

The spelling of 5115105072 in words is "five billion, one hundred fifteen million, one hundred five thousand, seventy-two".