Search a number
-
+
525313 is a prime number
BaseRepresentation
bin10000000010000000001
3222200121001
42000100001
5113302223
615132001
74315345
oct2002001
9880531
10525313
11329748
12214001
13155149
14d9625
15a59ad
hex80401

525313 has 2 divisors, whose sum is σ = 525314. Its totient is φ = 525312.

The previous prime is 525299. The next prime is 525353. The reversal of 525313 is 313525.

Adding to 525313 its reverse (313525), we get a palindrome (838838).

It can be divided in two parts, 525 and 313, that added together give a palindrome (838).

525313 = 5122 + 5132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 263169 + 262144 = 513^2 + 512^2 .

It is a cyclic number.

It is not a de Polignac number, because 525313 - 29 = 524801 is a prime.

It is not a weakly prime, because it can be changed into another prime (525353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 262656 + 262657.

It is an arithmetic number, because the mean of its divisors is an integer number (262657).

It is a Proth number, since it is equal to 513 ⋅ 210 + 1 and 513 < 210.

2525313 is an apocalyptic number.

525313 is the 513-rd centered square number.

It is an amenable number.

525313 is a deficient number, since it is larger than the sum of its proper divisors (1).

525313 is an equidigital number, since it uses as much as digits as its factorization.

525313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 450, while the sum is 19.

The square root of 525313 is about 724.7847956463. The cubic root of 525313 is about 80.6874609628.

The spelling of 525313 in words is "five hundred twenty-five thousand, three hundred thirteen".