Search a number
-
+
25548436041397 is a prime number
BaseRepresentation
bin1011100111100011101010…
…11101000110111010110101
310100110101222102202012001121
411303301311131012322311
511322041144111311042
6130200442310223541
75244546030146203
oct563616535067265
9110411872665047
1025548436041397
11816003810a875
122a4755b654bb1
13113429023b799
1464479d966073
152e4890600367
hex173c75746eb5

25548436041397 has 2 divisors, whose sum is σ = 25548436041398. Its totient is φ = 25548436041396.

The previous prime is 25548436041361. The next prime is 25548436041407. The reversal of 25548436041397 is 79314063484552.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24619151609361 + 929284432036 = 4961769^2 + 963994^2 .

It is a cyclic number.

It is not a de Polignac number, because 25548436041397 - 243 = 16752343019189 is a prime.

It is a super-3 number, since 3×255484360413973 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (25548436041497) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12774218020698 + 12774218020699.

It is an arithmetic number, because the mean of its divisors is an integer number (12774218020699).

It is a 1-persistent number, because it is pandigital, but 2⋅25548436041397 = 51096872082794 is not.

Almost surely, 225548436041397 is an apocalyptic number.

It is an amenable number.

25548436041397 is a deficient number, since it is larger than the sum of its proper divisors (1).

25548436041397 is an equidigital number, since it uses as much as digits as its factorization.

25548436041397 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 87091200, while the sum is 61.

The spelling of 25548436041397 in words is "twenty-five trillion, five hundred forty-eight billion, four hundred thirty-six million, forty-one thousand, three hundred ninety-seven".