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57960601 is a prime number
BaseRepresentation
bin1101110100011…
…0100010011001
311001001200222221
43131012202121
5104314214401
65430144041
71302441226
oct335064231
9131050887
1057960601
112a798726
12174b2021
13c01491a
1479aa94d
15514d7a1
hex3746899

57960601 has 2 divisors, whose sum is σ = 57960602. Its totient is φ = 57960600.

The previous prime is 57960571. The next prime is 57960619. The reversal of 57960601 is 10606975.

57960601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50751376 + 7209225 = 7124^2 + 2685^2 .

It is a cyclic number.

It is not a de Polignac number, because 57960601 - 25 = 57960569 is a prime.

It is not a weakly prime, because it can be changed into another prime (57960631) 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, 28980300 + 28980301.

It is an arithmetic number, because the mean of its divisors is an integer number (28980301).

Almost surely, 257960601 is an apocalyptic number.

It is an amenable number.

57960601 is a deficient number, since it is larger than the sum of its proper divisors (1).

57960601 is an equidigital number, since it uses as much as digits as its factorization.

57960601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 57960601 is about 7613.1859953636. The cubic root of 57960601 is about 386.9999955487. Note that the first 5 decimals are identical.

The spelling of 57960601 in words is "fifty-seven million, nine hundred sixty thousand, six hundred one".