73766245162513 has 2 divisors, whose sum is σ = 73766245162514. Its totient is φ = 73766245162512.

The previous prime is 73766245162469. The next prime is 73766245162549. The reversal of 73766245162513 is 31526154266737.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73573986590784 + 192258571729 = 8577528^2 + 438473^2 .

It is a cyclic number.

It is not a de Polignac number, because 73766245162513 - 2¹⁷ = 73766245031441 is a prime.

It is not a weakly prime, because it can be changed into another prime (73766245162573) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36883122581256 + 36883122581257.

It is an arithmetic number, because the mean of its divisors is an integer number (36883122581257).

Almost surely, 2^{73766245162513} is an apocalyptic number.

It is an amenable number.

73766245162513 is a deficient number, since it is larger than the sum of its proper divisors (1).

73766245162513 is an equidigital number, since it uses as much as digits as its factorization.

73766245162513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 38102400, while the sum is 58.

The spelling of 73766245162513 in words is "seventy-three trillion, seven hundred sixty-six billion, two hundred forty-five million, one hundred sixty-two thousand, five hundred thirteen".