5153040000 has 480 divisors, whose sum is σ = 19666157940. Its totient is φ = 1290240000.

The previous prime is 5153039993. The next prime is 5153040019. The reversal of 5153040000 is 403515.

It can be written as a sum of positive squares in 10 ways, for example, as 1159811136 + 3993228864 = 34056^2 + 63192^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12239790 + ... + 12240210.

Almost surely, 2^5153040000 is an apocalyptic number.

5153040000 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 5153040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9833078970).

5153040000 is an abundant number, since it is smaller than the sum of its proper divisors (14513117940).

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

5153040000 is a wasteful number, since it uses less digits than its factorization.

5153040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 448 counting only the distinct ones).

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

The square root of 5153040000 is about 71784.6780309002. The cubic root of 5153040000 is about 1727.2472287011.

Adding to 5153040000 its reverse (403515), we get a palindrome (5153443515).

The spelling of 5153040000 in words is "five billion, one hundred fifty-three million, forty thousand".