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506666901 = 313219149353
BaseRepresentation
bin11110001100110…
…001111110010101
31022022101100022210
4132030301332111
52014201320101
6122135344033
715361411656
oct3614617625
91268340283
10506666901
11240000384
12121822019
1380c7a800
144b40d52d
152e7337d6
hex1e331f95

506666901 has 48 divisors (see below), whose sum is σ = 777384000. Its totient is φ = 292571136.

The previous prime is 506666899. The next prime is 506666903. The reversal of 506666901 is 109666605.

It is an interprime number because it is at equal distance from previous prime (506666899) and next prime (506666903).

It is not a de Polignac number, because 506666901 - 21 = 506666899 is a prime.

It is a super-2 number, since 2×5066669012 = 513422697137887602, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 506666901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506666903) 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 47 ways as a sum of consecutive naturals, for example, 1435141 + ... + 1435493.

It is an arithmetic number, because the mean of its divisors is an integer number (16195500).

Almost surely, 2506666901 is an apocalyptic number.

It is an amenable number.

506666901 is a deficient number, since it is larger than the sum of its proper divisors (270717099).

506666901 is a wasteful number, since it uses less digits than its factorization.

506666901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 506666901 is about 22509.2625601107. The cubic root of 506666901 is about 797.2126438571.

The spelling of 506666901 in words is "five hundred six million, six hundred sixty-six thousand, nine hundred one".

Divisors: 1 3 13 19 39 57 149 169 247 353 447 507 741 1059 1937 2831 3211 4589 5811 6707 8493 9633 13767 20121 25181 36803 52597 59657 75543 87191 110409 157791 178971 261573 478439 683761 999343 1133483 1435317 2051283 2998029 3400449 8888893 12991459 26666679 38974377 168888967 506666901