507879328993 has 2 divisors, whose sum is σ = 507879328994. Its totient is φ = 507879328992.

The previous prime is 507879328967. The next prime is 507879329003. The reversal of 507879328993 is 399823978705.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 257827326289 + 250052002704 = 507767^2 + 500052^2 .

It is a cyclic number.

It is not a de Polignac number, because 507879328993 - 2¹⁷ = 507879197921 is a prime.

It is not a weakly prime, because it can be changed into another prime (507879328193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253939664496 + 253939664497.

It is an arithmetic number, because the mean of its divisors is an integer number (253939664497).

Almost surely, 2^507879328993 is an apocalyptic number.

It is an amenable number.

507879328993 is a deficient number, since it is larger than the sum of its proper divisors (1).

507879328993 is an equidigital number, since it uses as much as digits as its factorization.

507879328993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 205752960, while the sum is 70.

The spelling of 507879328993 in words is "five hundred seven billion, eight hundred seventy-nine million, three hundred twenty-eight thousand, nine hundred ninety-three".