513122642412161 has 8 divisors (see below), whose sum is σ = 545162919246120. Its totient is φ = 482038791752448.

The previous prime is 513122642412113. The next prime is 513122642412169. The reversal of 513122642412161 is 161214246221315.

It can be written as a sum of positive squares in 4 ways, for example, as 126080761787761 + 387041880624400 = 11228569^2 + 19673380^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 513122642412161 - 2⁶ = 513122642412097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513122642412169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239106542456 + ... + 239106544601.

It is an arithmetic number, because the mean of its divisors is an integer number (68145364905765).

Almost surely, 2^{513122642412161} is an apocalyptic number.

It is an amenable number.

513122642412161 is a deficient number, since it is larger than the sum of its proper divisors (32040276833959).

513122642412161 is a wasteful number, since it uses less digits than its factorization.

513122642412161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478213087123.

The product of its digits is 138240, while the sum is 41.

Adding to 513122642412161 its reverse (161214246221315), we get a palindrome (674336888633476).

The spelling of 513122642412161 in words is "five hundred thirteen trillion, one hundred twenty-two billion, six hundred forty-two million, four hundred twelve thousand, one hundred sixty-one".