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257252147 is a prime number
BaseRepresentation
bin11110101010101…
…01101100110011
3122221001202121022
433111111230303
51011324032042
641305450055
76242415155
oct1725255463
9587052538
10257252147
11122237389
12721a092b
13413b1609
1426246ad5
15178b7cd2
hexf555b33

257252147 has 2 divisors, whose sum is σ = 257252148. Its totient is φ = 257252146.

The previous prime is 257252141. The next prime is 257252179. The reversal of 257252147 is 741252752.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-257252147 is a prime.

It is a super-2 number, since 2×2572521472 = 132357334272219218, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257252141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128626073 + 128626074.

It is an arithmetic number, because the mean of its divisors is an integer number (128626074).

Almost surely, 2257252147 is an apocalyptic number.

257252147 is a deficient number, since it is larger than the sum of its proper divisors (1).

257252147 is an equidigital number, since it uses as much as digits as its factorization.

257252147 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 39200, while the sum is 35.

The square root of 257252147 is about 16039.0818627501. The cubic root of 257252147 is about 635.9939768096.

It can be divided in two parts, 25725 and 2147, that added together give a palindrome (27872).

The spelling of 257252147 in words is "two hundred fifty-seven million, two hundred fifty-two thousand, one hundred forty-seven".