2563604524753 has 2 divisors, whose sum is σ = 2563604524754. Its totient is φ = 2563604524752.

The previous prime is 2563604524631. The next prime is 2563604524889. The reversal of 2563604524753 is 3574254063652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2481655156929 + 81949367824 = 1575327^2 + 286268^2 .

It is a cyclic number.

It is not a de Polignac number, because 2563604524753 - 2²⁹ = 2563067653841 is a prime.

It is a super-2 number, since 2×2563604524753² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2563604524753.

It is not a weakly prime, because it can be changed into another prime (2563604524253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1281802262376 + 1281802262377.

It is an arithmetic number, because the mean of its divisors is an integer number (1281802262377).

Almost surely, 2^{2563604524753} is an apocalyptic number.

It is an amenable number.

2563604524753 is a deficient number, since it is larger than the sum of its proper divisors (1).

2563604524753 is an equidigital number, since it uses as much as digits as its factorization.

2563604524753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144000, while the sum is 52.

The spelling of 2563604524753 in words is "two trillion, five hundred sixty-three billion, six hundred four million, five hundred twenty-four thousand, seven hundred fifty-three".