5061711200 has 288 divisors, whose sum is σ = 15874983936. Its totient is φ = 1531791360.

The previous prime is 5061711163. The next prime is 5061711203. The reversal of 5061711200 is 21171605.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5061711203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1672889 + ... + 1675911.

It is an arithmetic number, because the mean of its divisors is an integer number (55121472).

Almost surely, 2^5061711200 is an apocalyptic number.

5061711200 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 5061711200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7937491968).

5061711200 is an abundant number, since it is smaller than the sum of its proper divisors (10813272736).

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

5061711200 is a wasteful number, since it uses less digits than its factorization.

5061711200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3086 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 5061711200 is about 71145.7040164759. The cubic root of 5061711200 is about 1716.9821788922.

Adding to 5061711200 its reverse (21171605), we get a palindrome (5082882805).

The spelling of 5061711200 in words is "five billion, sixty-one million, seven hundred eleven thousand, two hundred".