2563360633652 has 96 divisors (see below), whose sum is σ = 5764847397120. Its totient is φ = 969957596160.

The previous prime is 2563360633637. The next prime is 2563360633741.

2563360633652 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2563360633652.

It is a congruent number.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 5249 + ... + 2264232.

It is an arithmetic number, because the mean of its divisors is an integer number (60050493720).

Almost surely, 2^{2563360633652} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2563360633652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882423698560).

2563360633652 is an abundant number, since it is smaller than the sum of its proper divisors (3201486763468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2563360633652 is a wasteful number, since it uses less digits than its factorization.

2563360633652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269641 (or 2269639 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 50.

The spelling of 2563360633652 in words is "two trillion, five hundred sixty-three billion, three hundred sixty million, six hundred thirty-three thousand, six hundred fifty-two".