Search a number
-
+
57019813 is a prime number
BaseRepresentation
bin1101100110000…
…0110110100101
310222021220110221
43121200312211
5104044113223
65354044341
71261442344
oct331406645
9128256427
1057019813
112a205914
12171196b1
13ba75646
147803b5b
155014b5d
hex3660da5

57019813 has 2 divisors, whose sum is σ = 57019814. Its totient is φ = 57019812.

The previous prime is 57019799. The next prime is 57019841. The reversal of 57019813 is 31891075.

It is a happy number.

57019813 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., 56806369 + 213444 = 7537^2 + 462^2 .

It is a cyclic number.

It is not a de Polignac number, because 57019813 - 29 = 57019301 is a prime.

It is a super-3 number, since 3×570198133 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57014813) 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, 28509906 + 28509907.

It is an arithmetic number, because the mean of its divisors is an integer number (28509907).

Almost surely, 257019813 is an apocalyptic number.

It is an amenable number.

57019813 is a deficient number, since it is larger than the sum of its proper divisors (1).

57019813 is an equidigital number, since it uses as much as digits as its factorization.

57019813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 34.

The square root of 57019813 is about 7551.1464692456. The cubic root of 57019813 is about 384.8946988118.

The spelling of 57019813 in words is "fifty-seven million, nineteen thousand, eight hundred thirteen".