513564410101 has 2 divisors, whose sum is σ = 513564410102. Its totient is φ = 513564410100.

The previous prime is 513564410059. The next prime is 513564410171. The reversal of 513564410101 is 101014465315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 513012630001 + 551780100 = 716249^2 + 23490^2 .

It is a cyclic number.

It is not a de Polignac number, because 513564410101 - 2¹⁷ = 513564279029 is a prime.

It is a super-2 number, since 2×513564410101² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513564410171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256782205050 + 256782205051.

It is an arithmetic number, because the mean of its divisors is an integer number (256782205051).

Almost surely, 2^513564410101 is an apocalyptic number.

It is an amenable number.

513564410101 is a deficient number, since it is larger than the sum of its proper divisors (1).

513564410101 is an equidigital number, since it uses as much as digits as its factorization.

513564410101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7200, while the sum is 31.

Adding to 513564410101 its reverse (101014465315), we get a palindrome (614578875416).

The spelling of 513564410101 in words is "five hundred thirteen billion, five hundred sixty-four million, four hundred ten thousand, one hundred one".