5101135600 has 240 divisors, whose sum is σ = 14467216896. Its totient is φ = 1707520000.

The previous prime is 5101135597. The next prime is 5101135603. The reversal of 5101135600 is 65311015.

It is an interprime number because it is at equal distance from previous prime (5101135597) and next prime (5101135603).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5101135603) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3514875 + ... + 3516325.

Almost surely, 2^5101135600 is an apocalyptic number.

5101135600 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 5101135600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7233608448).

5101135600 is an abundant number, since it is smaller than the sum of its proper divisors (9366081296).

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

5101135600 is a wasteful number, since it uses less digits than its factorization.

5101135600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 5101135600 is about 71422.2346332009. The cubic root of 5101135600 is about 1721.4283700021.

Adding to 5101135600 its reverse (65311015), we get a palindrome (5166446615).

The spelling of 5101135600 in words is "five billion, one hundred one million, one hundred thirty-five thousand, six hundred".