75819748032013 has 2 divisors, whose sum is σ = 75819748032014. Its totient is φ = 75819748032012.

The previous prime is 75819748031981. The next prime is 75819748032031. The reversal of 75819748032013 is 31023084791857.

Together with next prime (75819748032031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55190011284004 + 20629736748009 = 7428998^2 + 4541997^2 .

It is a cyclic number.

It is not a de Polignac number, because 75819748032013 - 2⁵ = 75819748031981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (75819748032913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 37909874016006 + 37909874016007.

It is an arithmetic number, because the mean of its divisors is an integer number (37909874016007).

Almost surely, 2^{75819748032013} is an apocalyptic number.

It is an amenable number.

75819748032013 is a deficient number, since it is larger than the sum of its proper divisors (1).

75819748032013 is an equidigital number, since it uses as much as digits as its factorization.

75819748032013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10160640, while the sum is 58.

The spelling of 75819748032013 in words is "seventy-five trillion, eight hundred nineteen billion, seven hundred forty-eight million, thirty-two thousand, thirteen".