13000251600 has 480 divisors, whose sum is σ = 53139456000. Its totient is φ = 2957022720.

The previous prime is 13000251557. The next prime is 13000251601. The reversal of 13000251600 is 615200031.

13000251600 is a `hidden beast` number, since 13 + 0 + 0 + 0 + 2 + 51 + 600 = 666.

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 (13000251601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27140161 + ... + 27140639.

It is an arithmetic number, because the mean of its divisors is an integer number (110707200).

Almost surely, 2^13000251600 is an apocalyptic number.

13000251600 is a gapful number since it is divisible by the number (10) 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 13000251600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26569728000).

13000251600 is an abundant number, since it is smaller than the sum of its proper divisors (40139204400).

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

13000251600 is a wasteful number, since it uses less digits than its factorization.

13000251600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 13000251600 its reverse (615200031), we get a palindrome (13615451631).

The spelling of 13000251600 in words is "thirteen billion, two hundred fifty-one thousand, six hundred".