2506748433563 has 12 divisors (see below), whose sum is σ = 2755390346184. Its totient is φ = 2278830153600.

The previous prime is 2506748433517. The next prime is 2506748433571. The reversal of 2506748433563 is 3653348476052.

It is not a de Polignac number, because 2506748433563 - 2³⁶ = 2438028956827 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2506748433499 and 2506748433508.

It is not an unprimeable number, because it can be changed into a prime (2506748433503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14794283 + ... + 14962763.

It is an arithmetic number, because the mean of its divisors is an integer number (229615862182).

Almost surely, 2^{2506748433563} is an apocalyptic number.

2506748433563 is a deficient number, since it is larger than the sum of its proper divisors (248641912621).

2506748433563 is a wasteful number, since it uses less digits than its factorization.

2506748433563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291466 (or 291455 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 56.

The spelling of 2506748433563 in words is "two trillion, five hundred six billion, seven hundred forty-eight million, four hundred thirty-three thousand, five hundred sixty-three".