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505206525 = 35247251571
BaseRepresentation
bin11110000111001…
…101011011111101
31022012122011001210
4132013031123331
52013313102100
6122044155033
715343120215
oct3607153375
91265564053
10505206525
1123a1a315a
12121238a79
1380888b95
144b14d245
152e545c50
hex1e1cd6fd

505206525 has 48 divisors (see below), whose sum is σ = 857945088. Its totient is φ = 262200000.

The previous prime is 505206521. The next prime is 505206539. The reversal of 505206525 is 525602505.

505206525 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 505206525 - 22 = 505206521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505206492 and 505206501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505206521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 884490 + ... + 885060.

It is an arithmetic number, because the mean of its divisors is an integer number (17873856).

Almost surely, 2505206525 is an apocalyptic number.

It is an amenable number.

505206525 is a deficient number, since it is larger than the sum of its proper divisors (352738563).

505206525 is a wasteful number, since it uses less digits than its factorization.

505206525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 505206525 is about 22476.7997054741. The cubic root of 505206525 is about 796.4459662066.

The spelling of 505206525 in words is "five hundred five million, two hundred six thousand, five hundred twenty-five".

Divisors: 1 3 5 15 25 47 75 141 235 251 571 705 753 1175 1255 1713 2855 3525 3765 6275 8565 11797 14275 18825 26837 35391 42825 58985 80511 134185 143321 176955 294925 402555 429963 670925 716605 884775 2012775 2149815 3583025 6736087 10749075 20208261 33680435 101041305 168402175 505206525