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1001427257 is a prime number
BaseRepresentation
bin111011101100001…
…001000100111001
32120210100202221102
4323230021010321
54022331133012
6243212021145
733546663665
oct7354110471
92523322842
101001427257
11474309136
1223b4617b5
1312c619a0c
1496ddd8a5
155cdb42c2
hex3bb09139

1001427257 has 2 divisors, whose sum is σ = 1001427258. Its totient is φ = 1001427256.

The previous prime is 1001427253. The next prime is 1001427263. The reversal of 1001427257 is 7527241001.

1001427257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 986650921 + 14776336 = 31411^2 + 3844^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001427257 - 22 = 1001427253 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001427253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500713628 + 500713629.

It is an arithmetic number, because the mean of its divisors is an integer number (500713629).

Almost surely, 21001427257 is an apocalyptic number.

It is an amenable number.

1001427257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001427257 is an equidigital number, since it uses as much as digits as its factorization.

1001427257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 1001427257 is about 31645.3354698603. The cubic root of 1001427257 is about 1000.4755261723.

Adding to 1001427257 its reverse (7527241001), we get a palindrome (8528668258).

The spelling of 1001427257 in words is "one billion, one million, four hundred twenty-seven thousand, two hundred fifty-seven".