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2575829188241 is a prime number
BaseRepresentation
bin100101011110111011011…
…000100011111010010001
3100010020122222001110001222
4211132323120203322101
5314200244233010431
65251153010534425
7354045306563111
oct45367330437221
910106588043058
102575829188241
119034484747a1
12357267b97415
13158b906ba8aa
148c956953041
154700ad6857b
hex257bb623e91

2575829188241 has 2 divisors, whose sum is σ = 2575829188242. Its totient is φ = 2575829188240.

The previous prime is 2575829188169. The next prime is 2575829188249. The reversal of 2575829188241 is 1428819285752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2483334739600 + 92494448641 = 1575860^2 + 304129^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2575829188241 is a prime.

It is not a weakly prime, because it can be changed into another prime (2575829188249) 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, 1287914594120 + 1287914594121.

It is an arithmetic number, because the mean of its divisors is an integer number (1287914594121).

Almost surely, 22575829188241 is an apocalyptic number.

It is an amenable number.

2575829188241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2575829188241 is an equidigital number, since it uses as much as digits as its factorization.

2575829188241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 25804800, while the sum is 62.

The spelling of 2575829188241 in words is "two trillion, five hundred seventy-five billion, eight hundred twenty-nine million, one hundred eighty-eight thousand, two hundred forty-one".