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2253809187853 is a prime number
BaseRepresentation
bin100000110011000001011…
…111101111110000001101
321222110110211121111110221
4200303001133233300031
5243411300123002403
64443215144431341
7321555331001536
oct40630137576015
97873424544427
102253809187853
11799920591273
12304978178551
131346c1856672
147b12914568d
153d960429dbd
hex20cc17efc0d

2253809187853 has 2 divisors, whose sum is σ = 2253809187854. Its totient is φ = 2253809187852.

The previous prime is 2253809187739. The next prime is 2253809187863. The reversal of 2253809187853 is 3587819083522.

2253809187853 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2247351779689 + 6457408164 = 1499117^2 + 80358^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2253809187853 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2253809187791 and 2253809187800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2253809187863) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1126904593926 + 1126904593927.

It is an arithmetic number, because the mean of its divisors is an integer number (1126904593927).

Almost surely, 22253809187853 is an apocalyptic number.

It is an amenable number.

2253809187853 is a deficient number, since it is larger than the sum of its proper divisors (1).

2253809187853 is an equidigital number, since it uses as much as digits as its factorization.

2253809187853 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29030400, while the sum is 61.

The spelling of 2253809187853 in words is "two trillion, two hundred fifty-three billion, eight hundred nine million, one hundred eighty-seven thousand, eight hundred fifty-three".