2564105128493 has 2 divisors, whose sum is σ = 2564105128494. Its totient is φ = 2564105128492.

The previous prime is 2564105128423. The next prime is 2564105128511. The reversal of 2564105128493 is 3948215014652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2241119779369 + 322985349124 = 1497037^2 + 568318^2 .

It is a cyclic number.

It is not a de Polignac number, because 2564105128493 - 2²⁴ = 2564088351277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2564105128423) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282052564246 + 1282052564247.

It is an arithmetic number, because the mean of its divisors is an integer number (1282052564247).

Almost surely, 2^{2564105128493} is an apocalyptic number.

It is an amenable number.

2564105128493 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564105128493 is an equidigital number, since it uses as much as digits as its factorization.

2564105128493 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2073600, while the sum is 50.

The spelling of 2564105128493 in words is "two trillion, five hundred sixty-four billion, one hundred five million, one hundred twenty-eight thousand, four hundred ninety-three".