2561250601503 has 144 divisors (see below), whose sum is σ = 4485904864000. Its totient is φ = 1439208635040.

The previous prime is 2561250601499. The next prime is 2561250601571. The reversal of 2561250601503 is 3051060521652.

2561250601503 is a `hidden beast` number, since 2 + 561 + 25 + 0 + 60 + 15 + 0 + 3 = 666.

It is not a de Polignac number, because 2561250601503 - 2² = 2561250601499 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561250601303) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 137109918 + ... + 137128596.

Almost surely, 2^{2561250601503} is an apocalyptic number.

2561250601503 is a deficient number, since it is larger than the sum of its proper divisors (1924654262497).

2561250601503 is a wasteful number, since it uses less digits than its factorization.

2561250601503 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18823 (or 18759 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 2561250601503 in words is "two trillion, five hundred sixty-one billion, two hundred fifty million, six hundred one thousand, five hundred three".