13025030400 has 162 divisors, whose sum is σ = 46567629290. Its totient is φ = 3473326080.

The previous prime is 13025030399. The next prime is 13025030411. The reversal of 13025030400 is 403052031.

13025030400 is a `hidden beast` number, since 13 + 0 + 250 + 3 + 0 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 312016896 + 12713013504 = 17664^2 + 112752^2 .

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 17 ways as a sum of consecutive naturals, for example, 55465 + ... + 170664.

Almost surely, 2^13025030400 is an apocalyptic number.

13025030400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13025030400 is an abundant number, since it is smaller than the sum of its proper divisors (33542598890).

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

13025030400 is a wasteful number, since it uses less digits than its factorization.

13025030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226161 (or 226139 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 13025030400 its reverse (403052031), we get a palindrome (13428082431).

The spelling of 13025030400 in words is "thirteen billion, twenty-five million, thirty thousand, four hundred".