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500305071225 = 35253238352817
BaseRepresentation
bin1110100011111001000…
…00011000110001111001
31202211101010020221021210
413101330200120301321
531144111044234400
61021500441553333
751101011640001
oct7217440306171
91684333227253
10500305071225
111831a6195a83
1280b671a5849
1338242402bab
141a301957001
15d0327e4950
hex747c818c79

500305071225 has 48 divisors (see below), whose sum is σ = 843147677952. Its totient is φ = 261680040960.

The previous prime is 500305071221. The next prime is 500305071239. The reversal of 500305071225 is 522170503005.

It is not a de Polignac number, because 500305071225 - 22 = 500305071221 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 500305071192 and 500305071201.

It is not an unprimeable number, because it can be changed into a prime (500305071221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9446017 + ... + 9498833.

It is an arithmetic number, because the mean of its divisors is an integer number (17565576624).

Almost surely, 2500305071225 is an apocalyptic number.

It is an amenable number.

500305071225 is a deficient number, since it is larger than the sum of its proper divisors (342842606727).

500305071225 is a wasteful number, since it uses less digits than its factorization.

500305071225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55266 (or 55261 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The spelling of 500305071225 in words is "five hundred billion, three hundred five million, seventy-one thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 53 75 159 265 795 1325 2383 3975 7149 11915 35745 52817 59575 126299 158451 178725 264085 378897 631495 792255 1320425 1894485 2799301 3157475 3961275 8397903 9472425 13996505 41989515 69982525 125862911 209947575 377588733 629314555 1887943665 3146572775 6670734283 9439718325 20012202849 33353671415 100061014245 166768357075 500305071225