513360022129 has 2 divisors, whose sum is σ = 513360022130. Its totient is φ = 513360022128.

The previous prime is 513360022111. The next prime is 513360022151. The reversal of 513360022129 is 921220063315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 490112006400 + 23248015729 = 700080^2 + 152473^2 .

It is a cyclic number.

It is not a de Polignac number, because 513360022129 - 2¹¹ = 513360020081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513360022094 and 513360022103.

It is not a weakly prime, because it can be changed into another prime (513360023129) 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, 256680011064 + 256680011065.

It is an arithmetic number, because the mean of its divisors is an integer number (256680011065).

Almost surely, 2^513360022129 is an apocalyptic number.

It is an amenable number.

513360022129 is a deficient number, since it is larger than the sum of its proper divisors (1).

513360022129 is an equidigital number, since it uses as much as digits as its factorization.

513360022129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 34.

The spelling of 513360022129 in words is "five hundred thirteen billion, three hundred sixty million, twenty-two thousand, one hundred twenty-nine".