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57366541 is a prime number
BaseRepresentation
bin1101101011010…
…1100000001101
310222221112002201
43122311200031
5104141212131
65405321501
71264415251
oct332654015
9128845081
1057366541
112a422371
1217266291
13bb673cb
147894261
155082761
hex36b580d

57366541 has 2 divisors, whose sum is σ = 57366542. Its totient is φ = 57366540.

The previous prime is 57366521. The next prime is 57366557. The reversal of 57366541 is 14566375.

57366541 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., 52504516 + 4862025 = 7246^2 + 2205^2 .

It is a cyclic number.

It is not a de Polignac number, because 57366541 - 211 = 57364493 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57366541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57366521) 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, 28683270 + 28683271.

It is an arithmetic number, because the mean of its divisors is an integer number (28683271).

Almost surely, 257366541 is an apocalyptic number.

It is an amenable number.

57366541 is a deficient number, since it is larger than the sum of its proper divisors (1).

57366541 is an equidigital number, since it uses as much as digits as its factorization.

57366541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 75600, while the sum is 37.

The square root of 57366541 is about 7574.0703059848. The cubic root of 57366541 is about 385.6732830083.

The spelling of 57366541 in words is "fifty-seven million, three hundred sixty-six thousand, five hundred forty-one".