2565097537 has 2 divisors, whose sum is σ = 2565097538. Its totient is φ = 2565097536.

The previous prime is 2565097499. The next prime is 2565097543. The reversal of 2565097537 is 7357905652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1541033536 + 1024064001 = 39256^2 + 32001^2 .

It is a cyclic number.

It is not a de Polignac number, because 2565097537 - 2¹⁵ = 2565064769 is a prime.

It is not a weakly prime, because it can be changed into another prime (2565097597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282548768 + 1282548769.

It is an arithmetic number, because the mean of its divisors is an integer number (1282548769).

Almost surely, 2^2565097537 is an apocalyptic number.

It is an amenable number.

2565097537 is a deficient number, since it is larger than the sum of its proper divisors (1).

2565097537 is an equidigital number, since it uses as much as digits as its factorization.

2565097537 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1984500, while the sum is 49.

The square root of 2565097537 is about 50646.7919714566. The cubic root of 2565097537 is about 1368.8881413449. Note that the first 3 decimals are identical.

The spelling of 2565097537 in words is "two billion, five hundred sixty-five million, ninety-seven thousand, five hundred thirty-seven".