5146515200 has 108 divisors (see below), whose sum is σ = 13035368808. Its totient is φ = 2010624000.

The previous prime is 5146515173. The next prime is 5146515217. The reversal of 5146515200 is 25156415.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265850 + ... + 284550.

Almost surely, 2^5146515200 is an apocalyptic number.

5146515200 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 5146515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6517684404).

5146515200 is an abundant number, since it is smaller than the sum of its proper divisors (7888853608).

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

5146515200 is a wasteful number, since it uses less digits than its factorization.

5146515200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18770 (or 18751 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The square root of 5146515200 is about 71739.2166112789. The cubic root of 5146515200 is about 1726.5179049912.

The spelling of 5146515200 in words is "five billion, one hundred forty-six million, five hundred fifteen thousand, two hundred".