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1267531361 is a prime number
BaseRepresentation
bin100101110001100…
…1111111001100001
310021100002021010222
41023203033321201
510043442000421
6325435332425
743260560465
oct11343177141
93240067128
101267531361
115a0541088
122b45b1115
131727aa475
14c04ac4a5
1576429cab
hex4b8cfe61

1267531361 has 2 divisors, whose sum is σ = 1267531362. Its totient is φ = 1267531360.

The previous prime is 1267531351. The next prime is 1267531367. The reversal of 1267531361 is 1631357621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 811965025 + 455566336 = 28495^2 + 21344^2 .

It is a cyclic number.

It is not a de Polignac number, because 1267531361 - 218 = 1267269217 is a prime.

It is a super-2 number, since 2×12675313612 = 3213271502237024642, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1267531367) 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, 633765680 + 633765681.

It is an arithmetic number, because the mean of its divisors is an integer number (633765681).

Almost surely, 21267531361 is an apocalyptic number.

It is an amenable number.

1267531361 is a deficient number, since it is larger than the sum of its proper divisors (1).

1267531361 is an equidigital number, since it uses as much as digits as its factorization.

1267531361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22680, while the sum is 35.

The square root of 1267531361 is about 35602.4066742685. The cubic root of 1267531361 is about 1082.2300061800.

Adding to 1267531361 its reverse (1631357621), we get a palindrome (2898888982).

The spelling of 1267531361 in words is "one billion, two hundred sixty-seven million, five hundred thirty-one thousand, three hundred sixty-one".