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506539553 = 13137284413
BaseRepresentation
bin11110001100010…
…010111000100001
31022022010212122012
4132030102320201
52014133231203
6122132522305
715360341462
oct3614227041
91268125565
10506539553
1123aa23733
12121780395
1380c34860
144b3b8d69
152e70abd8
hex1e312e21

506539553 has 8 divisors (see below), whose sum is σ = 549487848. Its totient is φ = 464160384.

The previous prime is 506539519. The next prime is 506539559. The reversal of 506539553 is 355935605.

It can be written as a sum of positive squares in 4 ways, for example, as 161620369 + 344919184 = 12713^2 + 18572^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 506539553 - 224 = 489762337 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 506539553.

It is not an unprimeable number, because it can be changed into a prime (506539559) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 140426 + ... + 143987.

It is an arithmetic number, because the mean of its divisors is an integer number (68685981).

Almost surely, 2506539553 is an apocalyptic number.

It is an amenable number.

506539553 is a deficient number, since it is larger than the sum of its proper divisors (42948295).

506539553 is a wasteful number, since it uses less digits than its factorization.

506539553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284563.

The product of its (nonzero) digits is 303750, while the sum is 41.

The square root of 506539553 is about 22506.4335913090. The cubic root of 506539553 is about 797.1458465573.

It can be divided in two parts, 50653 and 9553, that added together give a palindrome (60206).

The spelling of 506539553 in words is "five hundred six million, five hundred thirty-nine thousand, five hundred fifty-three".

Divisors: 1 13 137 1781 284413 3697369 38964581 506539553