Search a number
-
+
57115033 is a prime number
BaseRepresentation
bin1101100111100…
…0000110011001
310222110202002121
43121320012121
5104110140113
65400101241
71262320063
oct331700631
9128422077
1057115033
112a270408
1217164821
13baa9aa1
14782a733
155032e8d
hex3678199

57115033 has 2 divisors, whose sum is σ = 57115034. Its totient is φ = 57115032.

The previous prime is 57115031. The next prime is 57115061. The reversal of 57115033 is 33051175.

57115033 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., 45198729 + 11916304 = 6723^2 + 3452^2 .

It is a cyclic number.

It is not a de Polignac number, because 57115033 - 21 = 57115031 is a prime.

Together with 57115031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 57114989 and 57115007.

It is not a weakly prime, because it can be changed into another prime (57115031) 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, 28557516 + 28557517.

It is an arithmetic number, because the mean of its divisors is an integer number (28557517).

Almost surely, 257115033 is an apocalyptic number.

It is an amenable number.

57115033 is a deficient number, since it is larger than the sum of its proper divisors (1).

57115033 is an equidigital number, since it uses as much as digits as its factorization.

57115033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1575, while the sum is 25.

The square root of 57115033 is about 7557.4488420366. The cubic root of 57115033 is about 385.1088307612.

The spelling of 57115033 in words is "fifty-seven million, one hundred fifteen thousand, thirty-three".