2561952919 has 2 divisors, whose sum is σ = 2561952920. Its totient is φ = 2561952918.

The previous prime is 2561952907. The next prime is 2561952931. The reversal of 2561952919 is 9192591652.

It is a balanced prime because it is at equal distance from previous prime (2561952907) and next prime (2561952931).

It is a cyclic number.

It is not a de Polignac number, because 2561952919 - 2⁷ = 2561952791 is a prime.

It is a super-2 number, since 2×2561952919² = 13127205518345241122, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2561952959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1280976459 + 1280976460.

It is an arithmetic number, because the mean of its divisors is an integer number (1280976460).

Almost surely, 2^2561952919 is an apocalyptic number.

2561952919 is a deficient number, since it is larger than the sum of its proper divisors (1).

2561952919 is an equidigital number, since it uses as much as digits as its factorization.

2561952919 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 437400, while the sum is 49.

The square root of 2561952919 is about 50615.7378588913. The cubic root of 2561952919 is about 1368.3285277268.

The spelling of 2561952919 in words is "two billion, five hundred sixty-one million, nine hundred fifty-two thousand, nine hundred nineteen".