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25506116393 is a prime number
BaseRepresentation
bin10111110000010010…
…000111001100101001
32102211120020221222112
4113300102013030221
5404214031211033
615414540332105
71562031261242
oct276022071451
972746227875
1025506116393
11a8a95a083a
124b39b44035
132536350584
14133d691cc9
159e4347c48
hex5f0487329

25506116393 has 2 divisors, whose sum is σ = 25506116394. Its totient is φ = 25506116392.

The previous prime is 25506116297. The next prime is 25506116399. The reversal of 25506116393 is 39361160552.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16091683609 + 9414432784 = 126853^2 + 97028^2 .

It is a cyclic number.

It is not a de Polignac number, because 25506116393 - 220 = 25505067817 is a prime.

It is a super-3 number, since 3×255061163933 (a number of 32 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 25506116393.

It is not a weakly prime, because it can be changed into another prime (25506116399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12753058196 + 12753058197.

It is an arithmetic number, because the mean of its divisors is an integer number (12753058197).

Almost surely, 225506116393 is an apocalyptic number.

It is an amenable number.

25506116393 is a deficient number, since it is larger than the sum of its proper divisors (1).

25506116393 is an equidigital number, since it uses as much as digits as its factorization.

25506116393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 145800, while the sum is 41.

The spelling of 25506116393 in words is "twenty-five billion, five hundred six million, one hundred sixteen thousand, three hundred ninety-three".