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54997285225 = 52172312892
BaseRepresentation
bin110011001110000101…
…111111100101101001
312020221212002120012211
4303032011333211221
51400113301111400
641133154405121
73654612132301
oct631605774551
9166855076184
1054997285225
1121362596443
12a7aa5907a1
13525618aa2c
14293a2c6601
15166d461dba
hexcce17f969

54997285225 has 81 divisors (see below), whose sum is σ = 75707002191. Its totient is φ = 39623654400.

The previous prime is 54997285177. The next prime is 54997285229. The reversal of 54997285225 is 52258279945.

The square root of 54997285225 is 234515.

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

It can be written as a sum of positive squares in 13 ways, for example, as 37095915609 + 17901369616 = 192603^2 + 133796^2 .

It is not a de Polignac number, because 54997285225 - 211 = 54997283177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 54997285225.

It is not an unprimeable number, because it can be changed into a prime (54997285229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 617946981 + ... + 617947069.

Almost surely, 254997285225 is an apocalyptic number.

54997285225 is the 234515-th square number.

54997285225 is the 117258-th centered octagonal number.

It is an amenable number.

54997285225 is a deficient number, since it is larger than the sum of its proper divisors (20709716966).

54997285225 is an equidigital number, since it uses as much as digits as its factorization.

54997285225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 142 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 58.

The spelling of 54997285225 in words is "fifty-four billion, nine hundred ninety-seven million, two hundred eighty-five thousand, two hundred twenty-five".

Divisors: 1 5 17 25 31 85 89 155 289 425 445 527 775 961 1445 1513 2225 2635 2759 4805 7225 7565 7921 8959 13175 13795 16337 24025 25721 37825 39605 44795 46903 68975 81685 85529 128605 134657 198025 223975 234515 245551 277729 408425 427645 643025 673285 797351 1172575 1227755 1388645 1453993 2138225 2289169 3366425 3986755 4174367 6138775 6943225 7269965 7612081 11445845 19933775 20871835 24717881 36349825 38060405 57229225 70964239 104359175 123589405 129405377 190302025 354821195 617947025 647026885 1774105975 2199891409 3235134425 10999457045 54997285225