5175116100 has 432 divisors, whose sum is σ = 20619930240. Its totient is φ = 1054310400.

The previous prime is 5175116087. The next prime is 5175116101. The reversal of 5175116100 is 16115715.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5175116101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3672196 + ... + 3673604.

It is an arithmetic number, because the mean of its divisors is an integer number (47731320).

Almost surely, 2^5175116100 is an apocalyptic number.

5175116100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5175116100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10309965120).

5175116100 is an abundant number, since it is smaller than the sum of its proper divisors (15444814140).

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

5175116100 is a wasteful number, since it uses less digits than its factorization.

5175116100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 27.

The square root of 5175116100 is about 71938.2797959473. The cubic root of 5175116100 is about 1729.7102770311.

The spelling of 5175116100 in words is "five billion, one hundred seventy-five million, one hundred sixteen thousand, one hundred".