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825211313 = 13123926357
BaseRepresentation
bin110001001011111…
…011100110110001
32010111210002002222
4301023323212301
53142223230223
6213515050425
726310115613
oct6113734661
92114702088
10825211313
113938a0523
121b0440a15
13101c6c324
147b84cdb3
154c6a70c8
hex312fb9b1

825211313 has 8 divisors (see below), whose sum is σ = 835021440. Its totient is φ = 815454640.

The previous prime is 825211291. The next prime is 825211337. The reversal of 825211313 is 313112528.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 825211313 - 210 = 825210289 is a prime.

It is a super-2 number, since 2×8252113132 = 1361947422206367938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (825211393) 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 7 ways as a sum of consecutive naturals, for example, 18131 + ... + 44487.

It is an arithmetic number, because the mean of its divisors is an integer number (104377680).

Almost surely, 2825211313 is an apocalyptic number.

It is an amenable number.

825211313 is a deficient number, since it is larger than the sum of its proper divisors (9810127).

825211313 is a wasteful number, since it uses less digits than its factorization.

825211313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26727.

The product of its digits is 1440, while the sum is 26.

The square root of 825211313 is about 28726.4914843425. The cubic root of 825211313 is about 937.9687968398.

The spelling of 825211313 in words is "eight hundred twenty-five million, two hundred eleven thousand, three hundred thirteen".

Divisors: 1 131 239 26357 31309 3452767 6299323 825211313