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61285458481 = 13213721392
BaseRepresentation
bin111001000100111001…
…011110001000110001
312212012002101212021121
4321010321132020301
52001003034132411
644053144022241
74266465542032
oct710471361061
9185162355247
1061285458481
1123a9a053045
12ba64461981
135a18b73400
142d754aaa89
1518da51e571
hexe44e5e231

61285458481 has 27 divisors (see below), whose sum is σ = 67334690241. Its totient is φ = 55754247744.

The previous prime is 61285458383. The next prime is 61285458499. The reversal of 61285458481 is 18485458216.

The square root of 61285458481 is 247559.

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 5447768481 + 55837690000 = 73809^2 + 236300^2 .

It is not a de Polignac number, because 61285458481 - 233 = 52695523889 is a prime.

It is a super-2 number, since 2×612854584812 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61085458481) 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 26 ways as a sum of consecutive naturals, for example, 440902510 + ... + 440902648.

Almost surely, 261285458481 is an apocalyptic number.

61285458481 is the 247559-th square number.

61285458481 is the 123780-th centered octagonal number.

It is an amenable number.

61285458481 is a deficient number, since it is larger than the sum of its proper divisors (6049231760).

61285458481 is an equidigital number, since it uses as much as digits as its factorization.

61285458481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 289 counting only the distinct ones).

The product of its digits is 2457600, while the sum is 52.

The spelling of 61285458481 in words is "sixty-one billion, two hundred eighty-five million, four hundred fifty-eight thousand, four hundred eighty-one".

Divisors: 1 13 137 139 169 1781 1807 18769 19043 19321 23153 23491 243997 247559 251173 2608891 2646977 3171961 3218267 3265249 33915583 34410701 362635849 440902579 447339113 4714266037 61285458481