509948763046511 has 2 divisors, whose sum is σ = 509948763046512. Its totient is φ = 509948763046510.

The previous prime is 509948763046439. The next prime is 509948763046603. The reversal of 509948763046511 is 115640367849905.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 509948763046511 - 2³⁴ = 509931583177327 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (509948763046111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254974381523255 + 254974381523256.

It is an arithmetic number, because the mean of its divisors is an integer number (254974381523256).

Almost surely, 2^{509948763046511} is an apocalyptic number.

509948763046511 is a deficient number, since it is larger than the sum of its proper divisors (1).

509948763046511 is an equidigital number, since it uses as much as digits as its factorization.

509948763046511 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 195955200, while the sum is 68.

The spelling of 509948763046511 in words is "five hundred nine trillion, nine hundred forty-eight billion, seven hundred sixty-three million, forty-six thousand, five hundred eleven".