13012937949025 has 27 divisors (see below), whose sum is σ = 18770681187219. Its totient is φ = 8923070874480.

The previous prime is 13012937949017. The next prime is 13012937949029. The reversal of 13012937949025 is 52094973921031.

The square root of 13012937949025 is 3607345.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4684657661649 + 8328280287376 = 2164407^2 + 2885876^2 .

It is not a de Polignac number, because 13012937949025 - 2³ = 13012937949017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13012937949029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 126205542 + ... + 126308608.

Almost surely, 2^{13012937949025} is an apocalyptic number.

13012937949025 is the 3607345-th square number.

13012937949025 is the 1803673-rd centered octagonal number.

It is an amenable number.

13012937949025 is a deficient number, since it is larger than the sum of its proper divisors (5757743238194).

13012937949025 is an frugal number, since it uses more digits than its factorization.

13012937949025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206158 (or 103079 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 55.

The spelling of 13012937949025 in words is "thirteen trillion, twelve billion, nine hundred thirty-seven million, nine hundred forty-nine thousand, twenty-five".