5100917328 has 200 divisors, whose sum is σ = 15971187848. Its totient is φ = 1562416128.

The previous prime is 5100917321. The next prime is 5100917377. The reversal of 5100917328 is 8237190015.

It can be written as a sum of positive squares in 4 ways, for example, as 602800704 + 4498116624 = 24552^2 + 67068^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 5100917292 and 5100917301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5100917321) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 4666350 + ... + 4667442.

Almost surely, 2^5100917328 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 5100917328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7985593924).

5100917328 is an abundant number, since it is smaller than the sum of its proper divisors (10870270520).

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

5100917328 is a wasteful number, since it uses less digits than its factorization.

5100917328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 5100917328 is about 71420.7065772945. The cubic root of 5100917328 is about 1721.4038169743.

The spelling of 5100917328 in words is "five billion, one hundred million, nine hundred seventeen thousand, three hundred twenty-eight".