20053101968761 has 3 divisors (see below), whose sum is σ = 20053106446831. Its totient is φ = 20053097490692.

The previous prime is 20053101968749. The next prime is 20053101968797. The reversal of 20053101968761 is 16786910135002.

The square root of 20053101968761 is 4478069.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 17918873158761 + 2134228810000 = 4233069^2 + 1460900^2 .

It is not a de Polignac number, because 20053101968761 - 2²⁵ = 20053068414329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20053101968161) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2239035 + ... + 6717103.

Almost surely, 2^{20053101968761} is an apocalyptic number.

20053101968761 is the 4478069-th square number.

20053101968761 is the 2239035-th centered octagonal number.

It is an amenable number.

20053101968761 is a deficient number, since it is larger than the sum of its proper divisors (4478070).

20053101968761 is an frugal number, since it uses more digits than its factorization.

20053101968761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8956138 (or 4478069 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

Multiplying 20053101968761 by its sum of digits (49), we get a square (982601996469289 = 31346483²).

The spelling of 20053101968761 in words is "twenty trillion, fifty-three billion, one hundred one million, nine hundred sixty-eight thousand, seven hundred sixty-one".