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511013052 = 2232113141627
BaseRepresentation
bin11110011101010…
…111000010111100
31022121120011010100
4132131113002330
52021304404202
6122412441100
715443352654
oct3635270274
91277504110
10511013052
112424a9740
12123179190
1381b3cab4
144bc21364
152ece141c
hex1e7570bc

511013052 has 72 divisors (see below), whose sum is σ = 1454648832. Its totient is φ = 149853600.

The previous prime is 511013033. The next prime is 511013071. The reversal of 511013052 is 250310115.

It is an interprime number because it is at equal distance from previous prime (511013033) and next prime (511013071).

It is a super-2 number, since 2×5110130522 = 522268678628709408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8538 + ... + 33089.

It is an arithmetic number, because the mean of its divisors is an integer number (20203456).

Almost surely, 2511013052 is an apocalyptic number.

It is an amenable number.

511013052 is an abundant number, since it is smaller than the sum of its proper divisors (943635780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

511013052 is a wasteful number, since it uses less digits than its factorization.

511013052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41679 (or 41674 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 511013052 is about 22605.5978023144. The cubic root of 511013052 is about 799.4856339387.

Adding to 511013052 its reverse (250310115), we get a palindrome (761323167).

The spelling of 511013052 in words is "five hundred eleven million, thirteen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 1023 1116 1364 2046 3069 4092 6138 12276 41627 83254 124881 166508 249762 374643 457897 499524 749286 915794 1290437 1373691 1498572 1831588 2580874 2747382 3871311 4121073 5161748 5494764 7742622 8242146 11613933 14194807 15485244 16484292 23227866 28389614 42584421 46455732 56779228 85168842 127753263 170337684 255506526 511013052