Search a number
-
+
57565381 is a prime number
BaseRepresentation
bin1101101110011…
…0000011000101
311000022121212011
43123212003011
5104214043011
65413454221
71266204046
oct333460305
9130277764
1057565381
112a5487a5
1217341371
13bc06a73
1479068cd
1550c1621
hex36e60c5

57565381 has 2 divisors, whose sum is σ = 57565382. Its totient is φ = 57565380.

The previous prime is 57565373. The next prime is 57565399. The reversal of 57565381 is 18356575.

57565381 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., 29528356 + 28037025 = 5434^2 + 5295^2 .

It is a cyclic number.

It is not a de Polignac number, because 57565381 - 23 = 57565373 is a prime.

It is a super-2 number, since 2×575653812 = 6627546179350322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57560381) 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, 28782690 + 28782691.

It is an arithmetic number, because the mean of its divisors is an integer number (28782691).

Almost surely, 257565381 is an apocalyptic number.

It is an amenable number.

57565381 is a deficient number, since it is larger than the sum of its proper divisors (1).

57565381 is an equidigital number, since it uses as much as digits as its factorization.

57565381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126000, while the sum is 40.

The square root of 57565381 is about 7587.1853147264. The cubic root of 57565381 is about 386.1183673249.

It can be divided in two parts, 575 and 65381, that added together give a palindrome (65956).

The spelling of 57565381 in words is "fifty-seven million, five hundred sixty-five thousand, three hundred eighty-one".