13005330325 has 24 divisors (see below), whose sum is σ = 17373410600. Its totient is φ = 9600456960.

The previous prime is 13005330319. The next prime is 13005330353. The reversal of 13005330325 is 52303350031.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 7672533649 + 5332796676 = 87593^2 + 73026^2 .

It is not a de Polignac number, because 13005330325 - 2¹⁷ = 13005199253 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 13005330325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1200031 + ... + 1210819.

Almost surely, 2^13005330325 is an apocalyptic number.

It is an amenable number.

13005330325 is a deficient number, since it is larger than the sum of its proper divisors (4368080275).

13005330325 is a wasteful number, since it uses less digits than its factorization.

13005330325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14521 (or 14516 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 25.

Adding to 13005330325 its reverse (52303350031), we get a palindrome (65308680356).

The spelling of 13005330325 in words is "thirteen billion, five million, three hundred thirty thousand, three hundred twenty-five".