5110361600 has 120 divisors (see below), whose sum is σ = 13328339640. Its totient is φ = 1936465920.

The previous prime is 5110361587. The next prime is 5110361611. The reversal of 5110361600 is 61630115.

It is a happy number.

It is a super-2 number, since 2×5110361600² = 52231591365509120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232694 + ... + 253706.

It is an arithmetic number, because the mean of its divisors is an integer number (111069497).

Almost surely, 2^5110361600 is an apocalyptic number.

5110361600 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 5110361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6664169820).

5110361600 is an abundant number, since it is smaller than the sum of its proper divisors (8217978040).

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

5110361600 is a wasteful number, since it uses less digits than its factorization.

5110361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21060 (or 21039 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 5110361600 is about 71486.7931858746. The cubic root of 5110361600 is about 1722.4655464428.

Adding to 5110361600 its reverse (61630115), we get a palindrome (5171991715).

The spelling of 5110361600 in words is "five billion, one hundred ten million, three hundred sixty-one thousand, six hundred".