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2353058825 = 52132171812
BaseRepresentation
bin1000110001000000…
…1101010000001001
320001222200202212212
42030100031100021
514304340340300
61025254114505
7112211445545
oct21420152011
96058622785
102353058825
11aa8270a17
1255804ba35
132b6661900
14184720a25
15db8a2935
hex8c40d409

2353058825 has 54 divisors (see below), whose sum is σ = 3363941502. Its totient is φ = 1626393600.

The previous prime is 2353058803. The next prime is 2353058833. The reversal of 2353058825 is 5288503532.

It can be written as a sum of positive squares in 27 ways, for example, as 1440354304 + 912704521 = 37952^2 + 30211^2 .

It is not a de Polignac number, because 2353058825 - 28 = 2353058569 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 13000235 + ... + 13000415.

It is an arithmetic number, because the mean of its divisors is an integer number (62295213).

Almost surely, 22353058825 is an apocalyptic number.

2353058825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2353058825 is a deficient number, since it is larger than the sum of its proper divisors (1010882677).

2353058825 is a wasteful number, since it uses less digits than its factorization.

2353058825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 41.

The square root of 2353058825 is about 48508.3376853918. The cubic root of 2353058825 is about 1330.0794843861.

The spelling of 2353058825 in words is "two billion, three hundred fifty-three million, fifty-eight thousand, eight hundred twenty-five".

Divisors: 1 5 13 17 25 65 85 169 181 221 325 425 845 905 1105 2353 2873 3077 4225 4525 5525 11765 14365 15385 30589 32761 40001 58825 71825 76925 152945 163805 200005 425893 520013 556937 764725 819025 1000025 2129465 2600065 2784685 5536609 7240181 10647325 13000325 13923425 27683045 36200905 94122353 138415225 181004525 470611765 2353058825