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505541331 = 356731051
BaseRepresentation
bin11110001000011…
…111001011010011
31022020021011100000
4132020133023103
52013404310311
6122055301043
715346013301
oct3610371323
91266234300
10505541331
1123a401759
1212137a783
13809753a9
144b1d9271
152e5b0056
hex1e21f2d3

505541331 has 24 divisors (see below), whose sum is σ = 768599104. Its totient is φ = 331986600.

The previous prime is 505541329. The next prime is 505541339. The reversal of 505541331 is 133145505.

It is not a de Polignac number, because 505541331 - 21 = 505541329 is a prime.

It is a super-2 number, since 2×5055413312 = 511144074698503122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 505541295 and 505541304.

It is not an unprimeable number, because it can be changed into a prime (505541339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756 + ... + 31806.

Almost surely, 2505541331 is an apocalyptic number.

505541331 is a deficient number, since it is larger than the sum of its proper divisors (263057773).

505541331 is an equidigital number, since it uses as much as digits as its factorization.

505541331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31133 (or 31121 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 505541331 is about 22484.2462848991. The cubic root of 505541331 is about 796.6218652311.

Adding to 505541331 its reverse (133145505), we get a palindrome (638686836).

The spelling of 505541331 in words is "five hundred five million, five hundred forty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 67 81 201 243 603 1809 5427 16281 31051 93153 279459 838377 2080417 2515131 6241251 7545393 18723753 56171259 168513777 505541331