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505542501 = 32180131189
BaseRepresentation
bin11110001000011…
…111011101100101
31022020021012221100
4132020133131211
52013404330001
6122055310313
715346016562
oct3610373545
91266235840
10505542501
1123a402622
1212137b399
1380975a99
144b1d9869
152e5b0586
hex1e21f765

505542501 has 12 divisors (see below), whose sum is σ = 730656940. Its totient is φ = 336830400.

The previous prime is 505542497. The next prime is 505542523. The reversal of 505542501 is 105245505.

It can be written as a sum of positive squares in 2 ways, for example, as 54022500 + 451520001 = 7350^2 + 21249^2 .

It is not a de Polignac number, because 505542501 - 22 = 505542497 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505542571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 615 + ... + 31803.

Almost surely, 2505542501 is an apocalyptic number.

It is an amenable number.

505542501 is a deficient number, since it is larger than the sum of its proper divisors (225114439).

505542501 is a wasteful number, since it uses less digits than its factorization.

505542501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32996 (or 32993 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 505542501 is about 22484.2723031011. The cubic root of 505542501 is about 796.6224797848.

The spelling of 505542501 in words is "five hundred five million, five hundred forty-two thousand, five hundred one".

Divisors: 1 3 9 1801 5403 16209 31189 93567 280701 56171389 168514167 505542501