12767365191025 has 81 divisors (see below), whose sum is σ = 17002410778017. Its totient is φ = 9508567622400.

The previous prime is 12767365191011. The next prime is 12767365191067. The reversal of 12767365191025 is 52019156376721.

The square root of 12767365191025 is 3573145.

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

It can be written as a sum of positive squares in 4 ways, for example, as 298641483361 + 12468723707664 = 546481^2 + 3531108^2 .

It is not a de Polignac number, because 12767365191025 - 2⁷ = 12767365190897 is a prime.

It is a super-2 number, since 2×12767365191025² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 38572100110 + ... + 38572100440.

Almost surely, 2^{12767365191025} is an apocalyptic number.

12767365191025 is the 3573145-th square number.

12767365191025 is the 1786573-rd centered octagonal number.

It is an amenable number.

12767365191025 is a deficient number, since it is larger than the sum of its proper divisors (4235045586992).

12767365191025 is an frugal number, since it uses more digits than its factorization.

12767365191025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 55.

The spelling of 12767365191025 in words is "twelve trillion, seven hundred sixty-seven billion, three hundred sixty-five million, one hundred ninety-one thousand, twenty-five".