5010413600 has 72 divisors (see below), whose sum is σ = 12262379220. Its totient is φ = 1999134720.

The previous prime is 5010413567. The next prime is 5010413609. The reversal of 5010413600 is 63140105.

It can be written as a sum of positive squares in 6 ways, for example, as 1153009936 + 3857403664 = 33956^2 + 62108^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (5010413609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 319544 + ... + 334856.

Almost surely, 2^5010413600 is an apocalyptic number.

5010413600 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 5010413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6131189610).

5010413600 is an abundant number, since it is smaller than the sum of its proper divisors (7251965620).

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

5010413600 is a wasteful number, since it uses less digits than its factorization.

5010413600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15742 (or 15729 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 5010413600 is about 70784.2750898814. The cubic root of 5010413600 is about 1711.1622571745.

Adding to 5010413600 its reverse (63140105), we get a palindrome (5073553705).

The spelling of 5010413600 in words is "five billion, ten million, four hundred thirteen thousand, six hundred".