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57005257 is a prime number
BaseRepresentation
bin1101100101110…
…1010011001001
310222021011111211
43121131103021
5104043132012
65353453121
71261352041
oct331352311
9128234454
1057005257
112a1a5991
12171111a1
13ba6bb2a
1477dc721
1550106a7
hex365d4c9

57005257 has 2 divisors, whose sum is σ = 57005258. Its totient is φ = 57005256.

The previous prime is 57005243. The next prime is 57005279. The reversal of 57005257 is 75250075.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31036041 + 25969216 = 5571^2 + 5096^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57005257 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (57005297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28502628 + 28502629.

It is an arithmetic number, because the mean of its divisors is an integer number (28502629).

Almost surely, 257005257 is an apocalyptic number.

It is an amenable number.

57005257 is a deficient number, since it is larger than the sum of its proper divisors (1).

57005257 is an equidigital number, since it uses as much as digits as its factorization.

57005257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12250, while the sum is 31.

The square root of 57005257 is about 7550.1825805738. The cubic root of 57005257 is about 384.8619440917.

The spelling of 57005257 in words is "fifty-seven million, five thousand, two hundred fifty-seven".