Search a number
-
+
9257864081 is a prime number
BaseRepresentation
bin10001001111100111…
…11100101110010001
3212220012022020000212
420213303330232101
5122430003122311
64130352053505
7445263355244
oct104763745621
925805266025
109257864081
113a20906344
121964534295
13b470172ab
1463b77b25b
15392b65c8b
hex227cfcb91

9257864081 has 2 divisors, whose sum is σ = 9257864082. Its totient is φ = 9257864080.

The previous prime is 9257864041. The next prime is 9257864141. The reversal of 9257864081 is 1804687529.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9179364481 + 78499600 = 95809^2 + 8860^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9257864081 is a prime.

It is a super-2 number, since 2×92578640812 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (9257864041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4628932040 + 4628932041.

It is an arithmetic number, because the mean of its divisors is an integer number (4628932041).

Almost surely, 29257864081 is an apocalyptic number.

It is an amenable number.

9257864081 is a deficient number, since it is larger than the sum of its proper divisors (1).

9257864081 is an equidigital number, since it uses as much as digits as its factorization.

9257864081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 967680, while the sum is 50.

The square root of 9257864081 is about 96217.7950329356. The cubic root of 9257864081 is about 2099.7629423263.

The spelling of 9257864081 in words is "nine billion, two hundred fifty-seven million, eight hundred sixty-four thousand, eighty-one".