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257150093 is a prime number
BaseRepresentation
bin11110101001111…
…00110010001101
3122220212120121112
433110330302031
51011312300333
641303341405
76241511504
oct1724746215
9586776545
10257150093
11122177742
1272151865
1341377025
142621b83b
1517897948
hexf53cc8d

257150093 has 2 divisors, whose sum is σ = 257150094. Its totient is φ = 257150092.

The previous prime is 257150077. The next prime is 257150119. The reversal of 257150093 is 390051752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 183927844 + 73222249 = 13562^2 + 8557^2 .

It is a cyclic number.

It is not a de Polignac number, because 257150093 - 24 = 257150077 is a prime.

It is a super-2 number, since 2×2571500932 = 132252340659817298, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257150063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128575046 + 128575047.

It is an arithmetic number, because the mean of its divisors is an integer number (128575047).

Almost surely, 2257150093 is an apocalyptic number.

It is an amenable number.

257150093 is a deficient number, since it is larger than the sum of its proper divisors (1).

257150093 is an equidigital number, since it uses as much as digits as its factorization.

257150093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 257150093 is about 16035.9001306444. The cubic root of 257150093 is about 635.9098643739.

The spelling of 257150093 in words is "two hundred fifty-seven million, one hundred fifty thousand, ninety-three".