2563123052544 has 144 divisors (see below), whose sum is σ = 7070688767520. Its totient is φ = 824909496320.

The previous prime is 2563123052531. The next prime is 2563123052557. The reversal of 2563123052544 is 4452503213652.

It is an interprime number because it is at equal distance from previous prime (2563123052531) and next prime (2563123052557).

It is a junction number, because it is equal to n+sod(n) for n = 2563123052496 and 2563123052505.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11290879 + ... + 11515649.

It is an arithmetic number, because the mean of its divisors is an integer number (49102005330).

Almost surely, 2^{2563123052544} is an apocalyptic number.

2563123052544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2563123052544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535344383760).

2563123052544 is an abundant number, since it is smaller than the sum of its proper divisors (4507565714976).

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

2563123052544 is an frugal number, since it uses more digits than its factorization.

2563123052544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224837 (or 224805 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 2563123052544 in words is "two trillion, five hundred sixty-three billion, one hundred twenty-three million, fifty-two thousand, five hundred forty-four".