Search a number
-
+
524701 is a prime number
BaseRepresentation
bin10000000000110011101
3222122202101
42000012131
5113242301
615125101
74313512
oct2000635
9878671
10524701
11329241
12213791
13154a98
14d9309
15a5701
hex8019d

524701 has 2 divisors, whose sum is σ = 524702. Its totient is φ = 524700.

The previous prime is 524683. The next prime is 524707. The reversal of 524701 is 107425.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 488601 + 36100 = 699^2 + 190^2 .

It is a cyclic number.

It is not a de Polignac number, because 524701 - 25 = 524669 is a prime.

It is a super-3 number, since 3×5247013 = 433368090464532303, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is a d-powerful number, because it can be written as 5 + 219 + 73 + 43 + 0 + 1 .

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (524707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 262350 + 262351.

It is an arithmetic number, because the mean of its divisors is an integer number (262351).

2524701 is an apocalyptic number.

It is an amenable number.

524701 is a deficient number, since it is larger than the sum of its proper divisors (1).

524701 is an equidigital number, since it uses as much as digits as its factorization.

524701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 524701 is about 724.3624783215. The cubic root of 524701 is about 80.6561146258.

It can be divided in two parts, 524 and 701, that added together give a triangular number (1225 = T49).

The spelling of 524701 in words is "five hundred twenty-four thousand, seven hundred one".