15040937972993 has 2 divisors, whose sum is σ = 15040937972994. Its totient is φ = 15040937972992.

The previous prime is 15040937972923. The next prime is 15040937973023. The reversal of 15040937972993 is 39927973904051.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13824884821489 + 1216053151504 = 3718183^2 + 1102748^2 .

It is an emirp because it is prime and its reverse (39927973904051) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 15040937972993 - 2¹⁴ = 15040937956609 is a prime.

It is not a weakly prime, because it can be changed into another prime (15040937972923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7520468986496 + 7520468986497.

It is an arithmetic number, because the mean of its divisors is an integer number (7520468986497).

Almost surely, 2^{15040937972993} is an apocalyptic number.

It is an amenable number.

15040937972993 is a deficient number, since it is larger than the sum of its proper divisors (1).

15040937972993 is an equidigital number, since it uses as much as digits as its factorization.

15040937972993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 115736040, while the sum is 68.

The spelling of 15040937972993 in words is "fifteen trillion, forty billion, nine hundred thirty-seven million, nine hundred seventy-two thousand, nine hundred ninety-three".