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2053752663889 is a prime number
BaseRepresentation
bin11101111000101101001…
…100101010111101010001
321021100002112222002200101
4131320231030222331101
5232122041140221024
64211251515052401
7301243622415613
oct35705514527521
97240075862611
102053752663889
11721a9a923853
12292045741101
1311b88b906774
147158b74cdb3
153865203cc44
hex1de2d32af51

2053752663889 has 2 divisors, whose sum is σ = 2053752663890. Its totient is φ = 2053752663888.

The previous prime is 2053752663887. The next prime is 2053752663953. The reversal of 2053752663889 is 9883662573502.

It is an a-pointer prime, because the next prime (2053752663953) can be obtained adding 2053752663889 to its sum of digits (64).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1892297369664 + 161455294225 = 1375608^2 + 401815^2 .

It is a cyclic number.

It is not a de Polignac number, because 2053752663889 - 21 = 2053752663887 is a prime.

Together with 2053752663887, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 2053752663889.

It is not a weakly prime, because it can be changed into another prime (2053752663887) 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 as a sum of consecutive naturals, namely, 1026876331944 + 1026876331945.

It is an arithmetic number, because the mean of its divisors is an integer number (1026876331945).

Almost surely, 22053752663889 is an apocalyptic number.

It is an amenable number.

2053752663889 is a deficient number, since it is larger than the sum of its proper divisors (1).

2053752663889 is an equidigital number, since it uses as much as digits as its factorization.

2053752663889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 130636800, while the sum is 64.

The spelling of 2053752663889 in words is "two trillion, fifty-three billion, seven hundred fifty-two million, six hundred sixty-three thousand, eight hundred eighty-nine".