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2583303994753 is a prime number
BaseRepresentation
bin100101100101111000111…
…010101011110110000001
3100010221221220012221221121
4211211320322223312001
5314311101310313003
65254430425552241
7354431452436656
oct45457072536601
910127856187847
102583303994753
11906633838539
123587b3345681
131597b2197621
148d065587c2d
15472e71c0cbd
hex25978eabd81

2583303994753 has 2 divisors, whose sum is σ = 2583303994754. Its totient is φ = 2583303994752.

The previous prime is 2583303994751. The next prime is 2583303994759. The reversal of 2583303994753 is 3574993033852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2376185254144 + 207118740609 = 1541488^2 + 455103^2 .

It is a cyclic number.

It is not a de Polignac number, because 2583303994753 - 21 = 2583303994751 is a prime.

Together with 2583303994751, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2583303994691 and 2583303994700.

It is not a weakly prime, because it can be changed into another prime (2583303994751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1291651997376 + 1291651997377.

It is an arithmetic number, because the mean of its divisors is an integer number (1291651997377).

Almost surely, 22583303994753 is an apocalyptic number.

It is an amenable number.

2583303994753 is a deficient number, since it is larger than the sum of its proper divisors (1).

2583303994753 is an equidigital number, since it uses as much as digits as its factorization.

2583303994753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 73483200, while the sum is 61.

The spelling of 2583303994753 in words is "two trillion, five hundred eighty-three billion, three hundred three million, nine hundred ninety-four thousand, seven hundred fifty-three".