2563755364801 has 8 divisors (see below), whose sum is σ = 2564383599360. Its totient is φ = 2563127220192.

The previous prime is 2563755364789. The next prime is 2563755364831. The reversal of 2563755364801 is 1084635573652.

2563755364801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 2563755364801 - 2¹³ = 2563755356609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2563755364831) 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, 131068260 + ... + 131087818.

It is an arithmetic number, because the mean of its divisors is an integer number (320547949920).

Almost surely, 2^{2563755364801} is an apocalyptic number.

It is an amenable number.

2563755364801 is a deficient number, since it is larger than the sum of its proper divisors (628234559).

2563755364801 is a wasteful number, since it uses less digits than its factorization.

2563755364801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44975.

The product of its (nonzero) digits is 18144000, while the sum is 55.

The spelling of 2563755364801 in words is "two trillion, five hundred sixty-three billion, seven hundred fifty-five million, three hundred sixty-four thousand, eight hundred one".