Search a number
-
+
511225 = 52112132
BaseRepresentation
bin1111100110011111001
3221222021021
41330303321
5112324400
614542441
74226311
oct1746371
9858237
10511225
1131a100
12207a21
1314b900
14d4441
15a171a
hex7ccf9

511225 has 27 divisors (see below), whose sum is σ = 754509. Its totient is φ = 343200.

The previous prime is 511223. The next prime is 511237. The reversal of 511225 is 522115.

511225 = T90 + T91 + ... + T155.

The square root of 511225 is 715.

It is a perfect power (a square), and thus also a powerful number.

511225 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 4 ways, for example, as 131769 + 379456 = 363^2 + 616^2 .

It is not a de Polignac number, because 511225 - 21 = 511223 is a prime.

It is a super-2 number, since 2×5112252 = 522702001250, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 511199 and 511208.

It is not an unprimeable number, because it can be changed into a prime (511223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39319 + ... + 39331.

511225 is a Friedman number, since it can be written as (55*(11+2))^2, using all its digits and the basic arithmetic operations.

2511225 is an apocalyptic number.

511225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

511225 is the 715-th square number.

511225 is the 358-th centered octagonal number.

It is an amenable number.

511225 is a deficient number, since it is larger than the sum of its proper divisors (243284).

511225 is a wasteful number, since it uses less digits than its factorization.

511225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 29 counting only the distinct ones).

The product of its digits is 100, while the sum is 16.

The cubic root of 511225 is about 79.9596150333.

Multiplying 511225 by its sum of digits (16), we get a square (8179600 = 28602).

Multiplying 511225 by its product of digits (100), we get a square (51122500 = 71502).

The spelling of 511225 in words is "five hundred eleven thousand, two hundred twenty-five".

Divisors: 1 5 11 13 25 55 65 121 143 169 275 325 605 715 845 1573 1859 3025 3575 4225 7865 9295 20449 39325 46475 102245 511225