Search a number
-
+
57258577 is a prime number
BaseRepresentation
bin1101101001101…
…1001001010001
310222202001000001
43122123021101
5104124233302
65403130001
71263455425
oct332331121
9128661001
1057258577
112a359242
1217213901
13bb2a21c
147866b85
155060787
hex369b251

57258577 has 2 divisors, whose sum is σ = 57258578. Its totient is φ = 57258576.

The previous prime is 57258559. The next prime is 57258587. The reversal of 57258577 is 77585275.

57258577 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., 54774801 + 2483776 = 7401^2 + 1576^2 .

It is a cyclic number.

It is not a de Polignac number, because 57258577 - 27 = 57258449 is a prime.

It is not a weakly prime, because it can be changed into another prime (57258517) 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, 28629288 + 28629289.

It is an arithmetic number, because the mean of its divisors is an integer number (28629289).

Almost surely, 257258577 is an apocalyptic number.

It is an amenable number.

57258577 is a deficient number, since it is larger than the sum of its proper divisors (1).

57258577 is an equidigital number, since it uses as much as digits as its factorization.

57258577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 686000, while the sum is 46.

The square root of 57258577 is about 7566.9397380976. The cubic root of 57258577 is about 385.4311849815.

The spelling of 57258577 in words is "fifty-seven million, two hundred fifty-eight thousand, five hundred seventy-seven".