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522490437225 = 3452160632
BaseRepresentation
bin1111001101001101101…
…10110101111001101001
31211221122020221022010000
413212212312311321221
532030030022442400
61040010115213213
752514541303231
oct7464666657151
91757566838100
10522490437225
111916502598a9
1285318ba7209
133a3697872b3
141b40818acc1
15d8d033b600
hex79a6db5e69

522490437225 has 45 divisors (see below), whose sum is σ = 967893159783. Its totient is φ = 278644218480.

The previous prime is 522490437191. The next prime is 522490437263. The reversal of 522490437225 is 522734094225.

The square root of 522490437225 is 722835.

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

522490437225 is a `hidden beast` number, since 52 + 2 + 490 + 43 + 72 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 188096557401 + 334393879824 = 433701^2 + 578268^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 522490437225 - 237 = 385051483753 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 32519544 + ... + 32535606.

Almost surely, 2522490437225 is an apocalyptic number.

522490437225 is the 722835-th square number.

522490437225 is the 361418-th centered octagonal number.

It is an amenable number.

522490437225 is a deficient number, since it is larger than the sum of its proper divisors (445402722558).

522490437225 is an frugal number, since it uses more digits than its factorization.

522490437225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32148 (or 16071 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 522490437225 in words is "five hundred twenty-two billion, four hundred ninety million, four hundred thirty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 16063 48189 80315 144567 240945 401575 433701 722835 1204725 1301103 2168505 3614175 6505515 10842525 32527575 258019969 774059907 1290099845 2322179721 3870299535 6450499225 6966539163 11610898605 19351497675 20899617489 34832695815 58054493025 104498087445 174163479075 522490437225