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355257721225 = 52112108372
BaseRepresentation
bin1010010101101110000…
…00101010000110001001
31020221222112002002222201
411022313000222012021
521310031434034400
6431111513520201
734444421543401
oct5126700520611
91227875062881
10355257721225
111277337a4100
1258a27113061
1327667c44184
14132a1c5d801
15939391706a
hex52b702a189

355257721225 has 27 divisors (see below), whose sum is σ = 484252151061. Its totient is φ = 258345410400.

The previous prime is 355257721183. The next prime is 355257721249. The reversal of 355257721225 is 522127752553.

The square root of 355257721225 is 596035.

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

It can be written as a sum of positive squares in 4 ways, for example, as 66441764169 + 288815957056 = 257763^2 + 537416^2 .

It is a de Polignac number, because none of the positive numbers 2k-355257721225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32776507 + ... + 32787343.

Almost surely, 2355257721225 is an apocalyptic number.

355257721225 is the 596035-th square number.

355257721225 is the 298018-th centered octagonal number.

It is an amenable number.

355257721225 is a deficient number, since it is larger than the sum of its proper divisors (128994429836).

355257721225 is an frugal number, since it uses more digits than its factorization.

355257721225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21706 (or 10853 counting only the distinct ones).

The product of its digits is 1470000, while the sum is 46.

The spelling of 355257721225 in words is "three hundred fifty-five billion, two hundred fifty-seven million, seven hundred twenty-one thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 3025 10837 54185 119207 270925 596035 1311277 2980175 6556385 32781925 117440569 587202845 1291846259 2936014225 6459231295 14210308849 32296156475 71051544245 355257721225