2563604524889 has 2 divisors, whose sum is σ = 2563604524890. Its totient is φ = 2563604524888.

The previous prime is 2563604524753. The next prime is 2563604524903. The reversal of 2563604524889 is 9884254063652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2520727782400 + 42876742489 = 1587680^2 + 207067^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2563604524889 is a prime.

It is not a weakly prime, because it can be changed into another prime (2563604524189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1281802262444 + 1281802262445.

It is an arithmetic number, because the mean of its divisors is an integer number (1281802262445).

Almost surely, 2^{2563604524889} is an apocalyptic number.

It is an amenable number.

2563604524889 is a deficient number, since it is larger than the sum of its proper divisors (1).

2563604524889 is an equidigital number, since it uses as much as digits as its factorization.

2563604524889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 99532800, while the sum is 62.

The spelling of 2563604524889 in words is "two trillion, five hundred sixty-three billion, six hundred four million, five hundred twenty-four thousand, eight hundred eighty-nine".