512004512512397 has 2 divisors, whose sum is σ = 512004512512398. Its totient is φ = 512004512512396.

The previous prime is 512004512512387. The next prime is 512004512512411. The reversal of 512004512512397 is 793215215400215.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 454083112719076 + 57921399793321 = 21309226^2 + 7610611^2 .

It is a cyclic number.

It is not a de Polignac number, because 512004512512397 - 2³⁰ = 512003438770573 is a prime.

It is a super-2 number, since 2×512004512512397² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (512004512512307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256002256256198 + 256002256256199.

It is an arithmetic number, because the mean of its divisors is an integer number (256002256256199).

Almost surely, 2^{512004512512397} is an apocalyptic number.

It is an amenable number.

512004512512397 is a deficient number, since it is larger than the sum of its proper divisors (1).

512004512512397 is an equidigital number, since it uses as much as digits as its factorization.

512004512512397 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756000, while the sum is 47.

The spelling of 512004512512397 in words is "five hundred twelve trillion, four billion, five hundred twelve million, five hundred twelve thousand, three hundred ninety-seven".