Search a number
-
+
57975521 is a prime number
BaseRepresentation
bin1101110100101…
…0001011100001
311001002110110112
43131022023201
5104320204041
65430341105
71302532562
oct335121341
9131073415
1057975521
112a7a895a
12174ba795
13c01b656
1479b2169
155152deb
hex374a2e1

57975521 has 2 divisors, whose sum is σ = 57975522. Its totient is φ = 57975520.

The previous prime is 57975503. The next prime is 57975527. The reversal of 57975521 is 12557975.

57975521 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., 49773025 + 8202496 = 7055^2 + 2864^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57975521 is a prime.

It is a super-2 number, since 2×579755212 = 6722322070442882, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (57975527) 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, 28987760 + 28987761.

It is an arithmetic number, because the mean of its divisors is an integer number (28987761).

Almost surely, 257975521 is an apocalyptic number.

It is an amenable number.

57975521 is a deficient number, since it is larger than the sum of its proper divisors (1).

57975521 is an equidigital number, since it uses as much as digits as its factorization.

57975521 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 110250, while the sum is 41.

The square root of 57975521 is about 7614.1658111706. The cubic root of 57975521 is about 387.0331993944.

The spelling of 57975521 in words is "fifty-seven million, nine hundred seventy-five thousand, five hundred twenty-one".