509632113677 has 2 divisors, whose sum is σ = 509632113678. Its totient is φ = 509632113676.

The previous prime is 509632113649. The next prime is 509632113691. The reversal of 509632113677 is 776311236905.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 362150000521 + 147482113156 = 601789^2 + 384034^2 .

It is a cyclic number.

It is not a de Polignac number, because 509632113677 - 2³⁸ = 234754206733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (509632113647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254816056838 + 254816056839.

It is an arithmetic number, because the mean of its divisors is an integer number (254816056839).

Almost surely, 2^509632113677 is an apocalyptic number.

It is an amenable number.

509632113677 is a deficient number, since it is larger than the sum of its proper divisors (1).

509632113677 is an equidigital number, since it uses as much as digits as its factorization.

509632113677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1428840, while the sum is 50.

The spelling of 509632113677 in words is "five hundred nine billion, six hundred thirty-two million, one hundred thirteen thousand, six hundred seventy-seven".