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57008173 is a prime number
BaseRepresentation
bin1101100101111…
…0000000101101
310222021022111211
43121132000231
5104043230143
65353514421
71261363405
oct331360055
9128238454
1057008173
112a1a80a2
1217112a11
13ba70261
1477dd805
15501149d
hex365e02d

57008173 has 2 divisors, whose sum is σ = 57008174. Its totient is φ = 57008172.

The previous prime is 57008129. The next prime is 57008197. The reversal of 57008173 is 37180075.

57008173 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., 34140649 + 22867524 = 5843^2 + 4782^2 .

It is a cyclic number.

It is not a de Polignac number, because 57008173 - 29 = 57007661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57008773) 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, 28504086 + 28504087.

It is an arithmetic number, because the mean of its divisors is an integer number (28504087).

Almost surely, 257008173 is an apocalyptic number.

It is an amenable number.

57008173 is a deficient number, since it is larger than the sum of its proper divisors (1).

57008173 is an equidigital number, since it uses as much as digits as its factorization.

57008173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 57008173 is about 7550.3756860172. The cubic root of 57008173 is about 384.8685062835.

The spelling of 57008173 in words is "fifty-seven million, eight thousand, one hundred seventy-three".