5123513100 has 144 divisors (see below), whose sum is σ = 15058286208. Its totient is φ = 1344860160.

The previous prime is 5123513093. The next prime is 5123513117. The reversal of 5123513100 is 13153215.

It is a super-2 number, since 2×5123513100² = 52500772971743220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6194887 + ... + 6195713.

It is an arithmetic number, because the mean of its divisors is an integer number (104571432).

Almost surely, 2^5123513100 is an apocalyptic number.

5123513100 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 5123513100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7529143104).

5123513100 is an abundant number, since it is smaller than the sum of its proper divisors (9934773108).

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

5123513100 is a wasteful number, since it uses less digits than its factorization.

5123513100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 5123513100 is about 71578.7196029658. The cubic root of 5123513100 is about 1723.9418673414.

Adding to 5123513100 its reverse (13153215), we get a palindrome (5136666315).

The spelling of 5123513100 in words is "five billion, one hundred twenty-three million, five hundred thirteen thousand, one hundred".