2561490742501 has 16 divisors (see below), whose sum is σ = 2614162199040. Its totient is φ = 2509398226800.

The previous prime is 2561490742469. The next prime is 2561490742553. The reversal of 2561490742501 is 1052470941652.

It is a cyclic number.

It is not a de Polignac number, because 2561490742501 - 2⁵ = 2561490742469 is a prime.

It is a super-2 number, since 2×2561490742501² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561490742201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6874570 + ... + 7237588.

It is an arithmetic number, because the mean of its divisors is an integer number (163385137440).

Almost surely, 2^{2561490742501} is an apocalyptic number.

It is an amenable number.

2561490742501 is a deficient number, since it is larger than the sum of its proper divisors (52671456539).

2561490742501 is a wasteful number, since it uses less digits than its factorization.

2561490742501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363816.

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 2561490742501 in words is "two trillion, five hundred sixty-one billion, four hundred ninety million, seven hundred forty-two thousand, five hundred one".