507006148607977 has 2 divisors, whose sum is σ = 507006148607978. Its totient is φ = 507006148607976.

The previous prime is 507006148607971. The next prime is 507006148608079. The reversal of 507006148607977 is 779706841600705.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 280920762797481 + 226085385810496 = 16760691^2 + 15036136^2 .

It is a cyclic number.

It is not a de Polignac number, because 507006148607977 - 2³ = 507006148607969 is a prime.

It is not a weakly prime, because it can be changed into another prime (507006148607971) 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, 253503074303988 + 253503074303989.

It is an arithmetic number, because the mean of its divisors is an integer number (253503074303989).

Almost surely, 2^{507006148607977} is an apocalyptic number.

It is an amenable number.

507006148607977 is a deficient number, since it is larger than the sum of its proper divisors (1).

507006148607977 is an equidigital number, since it uses as much as digits as its factorization.

507006148607977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124467840, while the sum is 67.

The spelling of 507006148607977 in words is "five hundred seven trillion, six billion, one hundred forty-eight million, six hundred seven thousand, nine hundred seventy-seven".