2561617657501 has 8 divisors (see below), whose sum is σ = 2927726521664. Its totient is φ = 2195549664480.

The previous prime is 2561617657499. The next prime is 2561617657541. The reversal of 2561617657501 is 1057567161652.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2561617657501 - 2¹ = 2561617657499 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561617657541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10083360 + ... + 10334281.

It is an arithmetic number, because the mean of its divisors is an integer number (365965815208).

Almost surely, 2^{2561617657501} is an apocalyptic number.

It is an amenable number.

2561617657501 is a deficient number, since it is larger than the sum of its proper divisors (366108864163).

2561617657501 is a wasteful number, since it uses less digits than its factorization.

2561617657501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20435571.

The product of its (nonzero) digits is 2646000, while the sum is 52.

The spelling of 2561617657501 in words is "two trillion, five hundred sixty-one billion, six hundred seventeen million, six hundred fifty-seven thousand, five hundred one".