72513811831393 has 2 divisors, whose sum is σ = 72513811831394. Its totient is φ = 72513811831392.

The previous prime is 72513811831367. The next prime is 72513811831619. The reversal of 72513811831393 is 39313811831527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72489166599249 + 24645232144 = 8514057^2 + 156988^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72513811831393 is a prime.

It is not a weakly prime, because it can be changed into another prime (72513811831093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36256905915696 + 36256905915697.

It is an arithmetic number, because the mean of its divisors is an integer number (36256905915697).

Almost surely, 2^{72513811831393} is an apocalyptic number.

It is an amenable number.

72513811831393 is a deficient number, since it is larger than the sum of its proper divisors (1).

72513811831393 is an equidigital number, since it uses as much as digits as its factorization.

72513811831393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3265920, while the sum is 55.

The spelling of 72513811831393 in words is "seventy-two trillion, five hundred thirteen billion, eight hundred eleven million, eight hundred thirty-one thousand, three hundred ninety-three".