Search a number
-
+
1085373025 = 521125992
BaseRepresentation
bin100000010110001…
…0111101001100001
32210122022122212221
41000230113221201
54210323414100
6255411151041
735616342562
oct10054275141
92718278787
101085373025
11507734900
122635a5481
13143b2c079
14a4212169
156544701a
hex40b17a61

1085373025 has 27 divisors (see below), whose sum is σ = 1481810323. Its totient is φ = 788044400.

The previous prime is 1085373017. The next prime is 1085373049. The reversal of 1085373025 is 5203735801.

The square root of 1085373025 is 32945.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 390734289 + 694638736 = 19767^2 + 26356^2 .

It is not a de Polignac number, because 1085373025 - 23 = 1085373017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1811676 + ... + 1812274.

Almost surely, 21085373025 is an apocalyptic number.

1085373025 is the 32945-th square number.

1085373025 is the 16473-rd centered octagonal number.

It is an amenable number.

1085373025 is a deficient number, since it is larger than the sum of its proper divisors (396437298).

1085373025 is an frugal number, since it uses more digits than its factorization.

1085373025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The cubic root of 1085373025 is about 1027.6841882044.

The spelling of 1085373025 in words is "one billion, eighty-five million, three hundred seventy-three thousand, twenty-five".

Divisors: 1 5 11 25 55 121 275 599 605 2995 3025 6589 14975 32945 72479 164725 358801 362395 1794005 1811975 3946811 8970025 19734055 43414921 98670275 217074605 1085373025