2564105410259 has 2 divisors, whose sum is σ = 2564105410260. Its totient is φ = 2564105410258.

The previous prime is 2564105410241. The next prime is 2564105410277. The reversal of 2564105410259 is 9520145014652.

It is a balanced prime because it is at equal distance from previous prime (2564105410241) and next prime (2564105410277).

It is a cyclic number.

It is not a de Polignac number, because 2564105410259 - 2²⁰ = 2564104361683 is a prime.

It is not a weakly prime, because it can be changed into another prime (2564105419259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282052705129 + 1282052705130.

It is an arithmetic number, because the mean of its divisors is an integer number (1282052705130).

Almost surely, 2^{2564105410259} is an apocalyptic number.

2564105410259 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564105410259 is an equidigital number, since it uses as much as digits as its factorization.

2564105410259 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432000, while the sum is 44.

The spelling of 2564105410259 in words is "two trillion, five hundred sixty-four billion, one hundred five million, four hundred ten thousand, two hundred fifty-nine".