Search a number
-
+
10526521 is a prime number
BaseRepresentation
bin101000001001…
…111100111001
3201210210200011
4220021330321
510143322041
61013341521
7155321365
oct50117471
921723604
1010526521
115a3a805
1236378a1
132247415
1415802a5
15dcde81
hexa09f39

10526521 has 2 divisors, whose sum is σ = 10526522. Its totient is φ = 10526520.

The previous prime is 10526501. The next prime is 10526533. The reversal of 10526521 is 12562501.

10526521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7155625 + 3370896 = 2675^2 + 1836^2 .

It is a cyclic number.

It is not a de Polignac number, because 10526521 - 211 = 10524473 is a prime.

It is a super-2 number, since 2×105265212 = 221615288726882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10526492 and 10526501.

It is not a weakly prime, because it can be changed into another prime (10526501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5263260 + 5263261.

It is an arithmetic number, because the mean of its divisors is an integer number (5263261).

Almost surely, 210526521 is an apocalyptic number.

It is an amenable number.

10526521 is a deficient number, since it is larger than the sum of its proper divisors (1).

10526521 is an equidigital number, since it uses as much as digits as its factorization.

10526521 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 10526521 is about 3244.4600475272. The cubic root of 10526521 is about 219.1601658417.

The spelling of 10526521 in words is "ten million, five hundred twenty-six thousand, five hundred twenty-one".