5013504000 has 456 divisors, whose sum is σ = 19138572648. Its totient is φ = 1258291200.

The previous prime is 5013503899. The next prime is 5013504007. The reversal of 5013504000 is 4053105.

It can be written as a sum of positive squares in 4 ways, for example, as 21233664 + 4992270336 = 4608^2 + 70656^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5013504007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294911992 + ... + 294912008.

Almost surely, 2^5013504000 is an apocalyptic number.

5013504000 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 5013504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9569286324).

5013504000 is an abundant number, since it is smaller than the sum of its proper divisors (14125068648).

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

5013504000 is an frugal number, since it uses more digits than its factorization.

5013504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5013504000 is about 70806.1014320094. The cubic root of 5013504000 is about 1711.5139971966.

Adding to 5013504000 its reverse (4053105), we get a palindrome (5017557105).

The spelling of 5013504000 in words is "five billion, thirteen million, five hundred four thousand".