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57509377 is a prime number
BaseRepresentation
bin1101101101100…
…0011000000001
311000012210000221
43123120120001
5104210300002
65412343041
71265551552
oct333303001
9130183027
1057509377
112a50a712
1217314a81
13bbb7423
1478d0329
1550aec37
hex36d8601

57509377 has 2 divisors, whose sum is σ = 57509378. Its totient is φ = 57509376.

The previous prime is 57509321. The next prime is 57509411. The reversal of 57509377 is 77390575.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47831056 + 9678321 = 6916^2 + 3111^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57509377 is a prime.

It is not a weakly prime, because it can be changed into another prime (57509477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28754688 + 28754689.

It is an arithmetic number, because the mean of its divisors is an integer number (28754689).

Almost surely, 257509377 is an apocalyptic number.

It is an amenable number.

57509377 is a deficient number, since it is larger than the sum of its proper divisors (1).

57509377 is an equidigital number, since it uses as much as digits as its factorization.

57509377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 231525, while the sum is 43.

The square root of 57509377 is about 7583.4937199156. The cubic root of 57509377 is about 385.9931115490.

The spelling of 57509377 in words is "fifty-seven million, five hundred nine thousand, three hundred seventy-seven".