Search a number
-
+
85201601 is a prime number
BaseRepresentation
bin1010001010000…
…01001011000001
312221022200121212
411011001023001
5133302422401
612242055505
72053126112
oct505011301
9187280555
1085201601
1144104251
122464a595
1314861b64
14b45c209
15772edbb
hex51412c1

85201601 has 2 divisors, whose sum is σ = 85201602. Its totient is φ = 85201600.

The previous prime is 85201583. The next prime is 85201607. The reversal of 85201601 is 10610258.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71842576 + 13359025 = 8476^2 + 3655^2 .

It is a cyclic number.

It is not a de Polignac number, because 85201601 - 26 = 85201537 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85201607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42600800 + 42600801.

It is an arithmetic number, because the mean of its divisors is an integer number (42600801).

Almost surely, 285201601 is an apocalyptic number.

It is an amenable number.

85201601 is a deficient number, since it is larger than the sum of its proper divisors (1).

85201601 is an equidigital number, since it uses as much as digits as its factorization.

85201601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 85201601 is about 9230.4713314110. The cubic root of 85201601 is about 440.0303026651.

Adding to 85201601 its reverse (10610258), we get a palindrome (95811859).

The spelling of 85201601 in words is "eighty-five million, two hundred one thousand, six hundred one".