513014141200021 has 2 divisors, whose sum is σ = 513014141200022. Its totient is φ = 513014141200020.

The previous prime is 513014141200009. The next prime is 513014141200063. The reversal of 513014141200021 is 120002141410315.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 415729671302500 + 97284469897521 = 20389450^2 + 9863289^2 .

It is a cyclic number.

It is not a de Polignac number, because 513014141200021 - 2³⁷ = 512876702246549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513014141200321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256507070600010 + 256507070600011.

It is an arithmetic number, because the mean of its divisors is an integer number (256507070600011).

Almost surely, 2^{513014141200021} is an apocalyptic number.

It is an amenable number.

513014141200021 is a deficient number, since it is larger than the sum of its proper divisors (1).

513014141200021 is an equidigital number, since it uses as much as digits as its factorization.

513014141200021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 513014141200021 its reverse (120002141410315), we get a palindrome (633016282610336).

The spelling of 513014141200021 in words is "five hundred thirteen trillion, fourteen billion, one hundred forty-one million, two hundred thousand, twenty-one".