13130513552025 has 36 divisors (see below), whose sum is σ = 23903753147820. Its totient is φ = 6888138249600.

The previous prime is 13130513552011. The next prime is 13130513552053. The reversal of 13130513552025 is 52025531503131.

13130513552025 is a `hidden beast` number, since 1 + 3 + 1 + 30 + 51 + 3 + 552 + 0 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 768911519376 + 12361602032649 = 876876^2 + 3515907^2 .

It is not a de Polignac number, because 13130513552025 - 2⁵ = 13130513551993 is a prime.

It is a super-2 number, since 2×13130513552025² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 478329210 + ... + 478356659.

It is an arithmetic number, because the mean of its divisors is an integer number (663993142995).

Almost surely, 2^{13130513552025} is an apocalyptic number.

13130513552025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13130513552025 is a deficient number, since it is larger than the sum of its proper divisors (10773239595795).

13130513552025 is a wasteful number, since it uses less digits than its factorization.

13130513552025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956685946 (or 956685938 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 13130513552025 in words is "thirteen trillion, one hundred thirty billion, five hundred thirteen million, five hundred fifty-two thousand, twenty-five".