1288513 has 2 divisors, whose sum is σ = 1288514. Its totient is φ = 1288512.

The previous prime is 1288487. The next prime is 1288519. The reversal of 1288513 is 3158821.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1272384 + 16129 = 1128^2 + 127^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1288513 is a prime.

1288513 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (1288519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 644256 + 644257.

It is an arithmetic number, because the mean of its divisors is an integer number (644257).

2^1288513 is an apocalyptic number.

It is an amenable number.

1288513 is a deficient number, since it is larger than the sum of its proper divisors (1).

1288513 is an equidigital number, since it uses as much as digits as its factorization.

1288513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1920, while the sum is 28.

The square root of 1288513 is about 1135.1268651565. The cubic root of 1288513 is about 108.8168796349.

The spelling of 1288513 in words is "one million, two hundred eighty-eight thousand, five hundred thirteen".