2565264341 has 2 divisors, whose sum is σ = 2565264342. Its totient is φ = 2565264340.

The previous prime is 2565264329. The next prime is 2565264349. The reversal of 2565264341 is 1434625652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2032116241 + 533148100 = 45079^2 + 23090^2 .

It is a cyclic number.

It is not a de Polignac number, because 2565264341 - 2¹⁴ = 2565247957 is a prime.

It is a super-2 number, since 2×2565264341² = 13161162278412328562, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2565264295 and 2565264304.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2565264349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282632170 + 1282632171.

It is an arithmetic number, because the mean of its divisors is an integer number (1282632171).

Almost surely, 2^2565264341 is an apocalyptic number.

It is an amenable number.

2565264341 is a deficient number, since it is larger than the sum of its proper divisors (1).

2565264341 is an equidigital number, since it uses as much as digits as its factorization.

2565264341 is an evil number, because the sum of its binary digits is even.

The product of its digits is 172800, while the sum is 38.

The square root of 2565264341 is about 50648.4386827472. The cubic root of 2565264341 is about 1368.9178128700.

Adding to 2565264341 its reverse (1434625652), we get a palindrome (3999889993).

The spelling of 2565264341 in words is "two billion, five hundred sixty-five million, two hundred sixty-four thousand, three hundred forty-one".