Search a number
-
+
530369910225 = 325247210332
BaseRepresentation
bin1111011011111001000…
…00101001010111010001
31212200222101120000001100
413231330200221113101
532142144144111400
61043352031455013
753214026565561
oct7557440512721
91780871500040
10530369910225
11194a23a95561
1286957987469
133b02404a65c
141b95483cda1
15dbe1e7a100
hex7b7c8295d1

530369910225 has 81 divisors (see below), whose sum is σ = 971533705233. Its totient is φ = 276577568640.

The previous prime is 530369910121. The next prime is 530369910227. The reversal of 530369910225 is 522019963035.

The square root of 530369910225 is 728265.

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

530369910225 is a `hidden beast` number, since 53 + 0 + 369 + 9 + 10 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 103077597249 + 427292312976 = 321057^2 + 653676^2 .

It is not a de Polignac number, because 530369910225 - 213 = 530369902033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (530369910227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 513426309 + ... + 513427341.

Almost surely, 2530369910225 is an apocalyptic number.

530369910225 is the 728265-th square number.

530369910225 is the 364133-rd centered octagonal number.

It is an amenable number.

530369910225 is a deficient number, since it is larger than the sum of its proper divisors (441163795008).

530369910225 is an equidigital number, since it uses as much as digits as its factorization.

530369910225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 530369910225 in words is "five hundred thirty billion, three hundred sixty-nine million, nine hundred ten thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 47 75 141 225 235 423 705 1033 1175 2115 2209 3099 3525 5165 6627 9297 10575 11045 15495 19881 25825 33135 46485 48551 55225 77475 99405 145653 165675 232425 242755 436959 497025 728265 1067089 1213775 2184795 2281897 3201267 3641325 5335445 6845691 9603801 10923975 11409485 16006335 20537073 26677225 34228455 48019005 50153183 57047425 80031675 102685365 150459549 171142275 240095025 250765915 451378647 513426825 752297745 1253829575 2256893235 2357199601 3761488725 7071598803 11284466175 11785998005 21214796409 35357994015 58929990025 106073982045 176789970075 530369910225