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57205541 is a prime number
BaseRepresentation
bin1101101000111…
…0001100100101
310222122100020202
43122032030211
5104121034131
65402040245
71263145001
oct332161445
9128570222
1057205541
112a322408
12171a9085
13bb0c043
147851701
15504ebcb
hex368e325

57205541 has 2 divisors, whose sum is σ = 57205542. Its totient is φ = 57205540.

The previous prime is 57205529. The next prime is 57205567. The reversal of 57205541 is 14550275.

57205541 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 can be written as a sum of positive squares in only one way, i.e., 42954916 + 14250625 = 6554^2 + 3775^2 .

It is a cyclic number.

It is not a de Polignac number, because 57205541 - 214 = 57189157 is a prime.

It is a super-2 number, since 2×572055412 = 6544947842205362, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57205241) 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, 28602770 + 28602771.

It is an arithmetic number, because the mean of its divisors is an integer number (28602771).

Almost surely, 257205541 is an apocalyptic number.

It is an amenable number.

57205541 is a deficient number, since it is larger than the sum of its proper divisors (1).

57205541 is an equidigital number, since it uses as much as digits as its factorization.

57205541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7000, while the sum is 29.

The square root of 57205541 is about 7563.4344711910. The cubic root of 57205541 is about 385.3121457967.

The spelling of 57205541 in words is "fifty-seven million, two hundred five thousand, five hundred forty-one".