65973600013 has 2 divisors, whose sum is σ = 65973600014. Its totient is φ = 65973600012.

The previous prime is 65973599987. The next prime is 65973600023. The reversal of 65973600013 is 31000637956.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61431109609 + 4542490404 = 247853^2 + 67398^2 .

It is a cyclic number.

It is not a de Polignac number, because 65973600013 - 2⁹ = 65973599501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (65973600023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32986800006 + 32986800007.

It is an arithmetic number, because the mean of its divisors is an integer number (32986800007).

Almost surely, 2^65973600013 is an apocalyptic number.

It is an amenable number.

65973600013 is a deficient number, since it is larger than the sum of its proper divisors (1).

65973600013 is an equidigital number, since it uses as much as digits as its factorization.

65973600013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 102060, while the sum is 40.

The spelling of 65973600013 in words is "sixty-five billion, nine hundred seventy-three million, six hundred thousand, thirteen".