5100509268 has 72 divisors (see below), whose sum is σ = 13106332512. Its totient is φ = 1672114752.

The previous prime is 5100509251. The next prime is 5100509317. The reversal of 5100509268 is 8629050015.

It is a happy number.

5100509268 is a `hidden beast` number, since 510 + 0 + 50 + 92 + 6 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1993446 + ... + 1996002.

It is an arithmetic number, because the mean of its divisors is an integer number (182032396).

Almost surely, 2^5100509268 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 5100509268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6553166256).

5100509268 is an abundant number, since it is smaller than the sum of its proper divisors (8005823244).

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

5100509268 is a wasteful number, since it uses less digits than its factorization.

5100509268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3461 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 5100509268 is about 71417.8497856103. The cubic root of 5100509268 is about 1721.3579131543.

The spelling of 5100509268 in words is "five billion, one hundred million, five hundred nine thousand, two hundred sixty-eight".