2263542561601 has 8 divisors (see below), whose sum is σ = 2318825424384. Its totient is φ = 2208263246880.

The previous prime is 2263542561583. The next prime is 2263542561653. The reversal of 2263542561601 is 1061652453622.

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 2263542561601 - 2¹³ = 2263542553409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2263542561901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 428016 + ... + 2170318.

It is an arithmetic number, because the mean of its divisors is an integer number (289853178048).

Almost surely, 2^{2263542561601} is an apocalyptic number.

It is an amenable number.

2263542561601 is a deficient number, since it is larger than the sum of its proper divisors (55282862783).

2263542561601 is a wasteful number, since it uses less digits than its factorization.

2263542561601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774031.

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 2263542561601 in words is "two trillion, two hundred sixty-three billion, five hundred forty-two million, five hundred sixty-one thousand, six hundred one".