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513111225 = 352113120063
BaseRepresentation
bin11110100101010…
…111010010111001
31022202111202021110
4132211113102321
52022324024400
6122525430533
715500242044
oct3645272271
91282452243
10513111225
11243702070
12123a0b449
13823c5b13
144c209c5b
15300a7e50
hex1e9574b9

513111225 has 48 divisors (see below), whose sum is σ = 955367424. Its totient is φ = 240744000.

The previous prime is 513111223. The next prime is 513111257. The reversal of 513111225 is 522111315.

It is not a de Polignac number, because 513111225 - 21 = 513111223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513111223) 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, 15544 + ... + 35606.

It is an arithmetic number, because the mean of its divisors is an integer number (19903488).

Almost surely, 2513111225 is an apocalyptic number.

513111225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

513111225 is a deficient number, since it is larger than the sum of its proper divisors (442256199).

513111225 is a wasteful number, since it uses less digits than its factorization.

513111225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20118 (or 20113 counting only the distinct ones).

The product of its digits is 300, while the sum is 21.

The square root of 513111225 is about 22651.9585245956. The cubic root of 513111225 is about 800.5783448167.

The spelling of 513111225 in words is "five hundred thirteen million, one hundred eleven thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 25 31 33 55 75 93 155 165 275 341 465 775 825 1023 1705 2325 5115 8525 20063 25575 60189 100315 220693 300945 501575 621953 662079 1103465 1504725 1865859 3109765 3310395 5517325 6841483 9329295 15548825 16551975 20524449 34207415 46646475 102622245 171037075 513111225