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2261085529 is a prime number
BaseRepresentation
bin1000011011000101…
…0110110101011001
312211120122001020111
42012301112311121
514112314214104
61012210524321
7110013624043
oct20661266531
95746561214
102261085529
11a6036202a
125312966a1
132a059b741
1417641ca93
15d3786404
hex86c56d59

2261085529 has 2 divisors, whose sum is σ = 2261085530. Its totient is φ = 2261085528.

The previous prime is 2261085487. The next prime is 2261085569. The reversal of 2261085529 is 9255801622.

2261085529 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (2261085569) can be obtained adding 2261085529 to its sum of digits (40).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1511421129 + 749664400 = 38877^2 + 27380^2 .

It is a cyclic number.

It is not a de Polignac number, because 2261085529 - 211 = 2261083481 is a prime.

It is a super-2 number, since 2×22610855292 = 10225015538906419682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2261085491 and 2261085500.

It is not a weakly prime, because it can be changed into another prime (2261085569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1130542764 + 1130542765.

It is an arithmetic number, because the mean of its divisors is an integer number (1130542765).

Almost surely, 22261085529 is an apocalyptic number.

It is an amenable number.

2261085529 is a deficient number, since it is larger than the sum of its proper divisors (1).

2261085529 is an equidigital number, since it uses as much as digits as its factorization.

2261085529 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 2261085529 is about 47550.8730624370. The cubic root of 2261085529 is about 1312.5191950511.

The spelling of 2261085529 in words is "two billion, two hundred sixty-one million, eighty-five thousand, five hundred twenty-nine".