512131082401 has 2 divisors, whose sum is σ = 512131082402. Its totient is φ = 512131082400.

The previous prime is 512131082389. The next prime is 512131082429. The reversal of 512131082401 is 104280131215.

It is an a-pointer prime, because the next prime (512131082429) can be obtained adding 512131082401 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 505407246400 + 6723836001 = 710920^2 + 81999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-512131082401 is a prime.

It is a super-2 number, since 2×512131082401² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 512131082401.

It is not a weakly prime, because it can be changed into another prime (512131082431) 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, 256065541200 + 256065541201.

It is an arithmetic number, because the mean of its divisors is an integer number (256065541201).

Almost surely, 2^512131082401 is an apocalyptic number.

It is an amenable number.

512131082401 is a deficient number, since it is larger than the sum of its proper divisors (1).

512131082401 is an equidigital number, since it uses as much as digits as its factorization.

512131082401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 28.

The spelling of 512131082401 in words is "five hundred twelve billion, one hundred thirty-one million, eighty-two thousand, four hundred one".