73188013 has 2 divisors, whose sum is σ = 73188014. Its totient is φ = 73188012.

The previous prime is 73187999. The next prime is 73188023. The reversal of 73188013 is 31088137.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42029289 + 31158724 = 6483^2 + 5582^2 .

It is an emirp because it is prime and its reverse (31088137) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-73188013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73188023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36594006 + 36594007.

It is an arithmetic number, because the mean of its divisors is an integer number (36594007).

Almost surely, 2^73188013 is an apocalyptic number.

It is an amenable number.

73188013 is a deficient number, since it is larger than the sum of its proper divisors (1).

73188013 is an equidigital number, since it uses as much as digits as its factorization.

73188013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 73188013 is about 8554.9992986557. Note that the first 3 decimals coincide. The cubic root of 73188013 is about 418.2924111792.

The spelling of 73188013 in words is "seventy-three million, one hundred eighty-eight thousand, thirteen".