2561414213 has 4 divisors (see below), whose sum is σ = 2561517708. Its totient is φ = 2561310720.

The previous prime is 2561414161. The next prime is 2561414227. The reversal of 2561414213 is 3124141652.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 2157323809 + 404090404 = 46447^2 + 20102^2 .

It is a cyclic number.

It is not a de Polignac number, because 2561414213 - 2⁸ = 2561413957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561419213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9695 + ... + 72227.

It is an arithmetic number, because the mean of its divisors is an integer number (640379427).

Almost surely, 2^2561414213 is an apocalyptic number.

It is an amenable number.

2561414213 is a deficient number, since it is larger than the sum of its proper divisors (103495).

2561414213 is an equidigital number, since it uses as much as digits as its factorization.

2561414213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103494.

The product of its digits is 5760, while the sum is 29.

The square root of 2561414213 is about 50610.4160524294. The cubic root of 2561414213 is about 1368.2326141168.

Adding to 2561414213 its reverse (3124141652), we get a palindrome (5685555865).

The spelling of 2561414213 in words is "two billion, five hundred sixty-one million, four hundred fourteen thousand, two hundred thirteen".