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506012225 = 521731193199
BaseRepresentation
bin11110001010010…
…010001001000001
31022021011002021112
4132022102021001
52014014342400
6122113333105
715353014205
oct3612221101
91267132245
10506012225
1123a6a3524
12121567195
1380aab824
144b2bcb05
152e654835
hex1e292241

506012225 has 48 divisors (see below), whose sum is σ = 692812800. Its totient is φ = 364953600.

The previous prime is 506012159. The next prime is 506012231. The reversal of 506012225 is 522210605.

It is not a de Polignac number, because 506012225 - 220 = 504963649 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 506012225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2542676 + ... + 2542874.

It is an arithmetic number, because the mean of its divisors is an integer number (14433600).

Almost surely, 2506012225 is an apocalyptic number.

It is an amenable number.

506012225 is a deficient number, since it is larger than the sum of its proper divisors (186800575).

506012225 is a wasteful number, since it uses less digits than its factorization.

506012225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 506012225 is about 22494.7154905324. The cubic root of 506012225 is about 796.8691302400.

The spelling of 506012225 in words is "five hundred six million, twelve thousand, two hundred twenty-five".

Divisors: 1 5 17 25 31 85 155 193 199 425 527 775 965 995 2635 3281 3383 4825 4975 5983 6169 13175 16405 16915 29915 30845 38407 82025 84575 101711 104873 149575 154225 192035 508555 524365 652919 960175 1190617 2542775 2621825 3264595 5953085 16322975 20240489 29765425 101202445 506012225