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465051137 is a prime number
BaseRepresentation
bin11011101110000…
…001111000000001
31012102002001020012
4123232001320001
51423023114022
6114051354305
714344604135
oct3356017001
91172061205
10465051137
11219566891
1210b8b2995
13754696b5
1445a993c5
152ac62de2
hex1bb81e01

465051137 has 2 divisors, whose sum is σ = 465051138. Its totient is φ = 465051136.

The previous prime is 465051121. The next prime is 465051173. The reversal of 465051137 is 731150564.

Together with next prime (465051173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 384787456 + 80263681 = 19616^2 + 8959^2 .

It is a cyclic number.

It is not a de Polignac number, because 465051137 - 24 = 465051121 is a prime.

It is a super-3 number, since 3×4650511373 (a number of 27 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (465051107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 232525568 + 232525569.

It is an arithmetic number, because the mean of its divisors is an integer number (232525569).

Almost surely, 2465051137 is an apocalyptic number.

It is an amenable number.

465051137 is a deficient number, since it is larger than the sum of its proper divisors (1).

465051137 is an equidigital number, since it uses as much as digits as its factorization.

465051137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 465051137 is about 21565.0443310465. The cubic root of 465051137 is about 774.7594880455.

The spelling of 465051137 in words is "four hundred sixty-five million, fifty-one thousand, one hundred thirty-seven".