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57345331 is a prime number
BaseRepresentation
bin1101101011000…
…0010100110011
310222220110000011
43122300110303
5104140022311
65405035351
71264266361
oct332602463
9128813004
1057345331
112a40843a
1217255b57
13bb5a864
14788a631
15507b321
hex36b0533

57345331 has 2 divisors, whose sum is σ = 57345332. Its totient is φ = 57345330.

The previous prime is 57345329. The next prime is 57345341. The reversal of 57345331 is 13354375.

57345331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 57345331 - 21 = 57345329 is a prime.

It is a super-2 number, since 2×573453312 = 6576973974999122, which contains 22 as substring.

Together with 57345329, it forms a pair of twin primes.

It is equal to p3413857 and since 57345331 and 3413857 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 57345293 and 57345302.

It is not a weakly prime, because it can be changed into another prime (57345341) 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, 28672665 + 28672666.

It is an arithmetic number, because the mean of its divisors is an integer number (28672666).

Almost surely, 257345331 is an apocalyptic number.

57345331 is a deficient number, since it is larger than the sum of its proper divisors (1).

57345331 is an equidigital number, since it uses as much as digits as its factorization.

57345331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18900, while the sum is 31.

The square root of 57345331 is about 7572.6700046945. The cubic root of 57345331 is about 385.6257457823.

The spelling of 57345331 in words is "fifty-seven million, three hundred forty-five thousand, three hundred thirty-one".