1288013 has 2 divisors, whose sum is σ = 1288014. Its totient is φ = 1288012.

The previous prime is 1288009. The next prime is 1288033. The reversal of 1288013 is 3108821.

1288013 = 802² + 803².

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 644809 + 643204 = 803^2 + 802^2 .

It is a cyclic number.

It is not a de Polignac number, because 1288013 - 2² = 1288009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1288013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1288003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 644006 + 644007.

It is an arithmetic number, because the mean of its divisors is an integer number (644007).

2^1288013 is an apocalyptic number.

1288013 is the 803-rd centered square number.

It is an amenable number.

1288013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1288013 is an equidigital number, since it uses as much as digits as its factorization.

1288013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 1288013 is about 1134.9066040869. The cubic root of 1288013 is about 108.8028025608.

The spelling of 1288013 in words is "one million, two hundred eighty-eight thousand, thirteen".