1006741313 has 2 divisors, whose sum is σ = 1006741314. Its totient is φ = 1006741312.

The previous prime is 1006741273. The next prime is 1006741357. The reversal of 1006741313 is 3131476001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 721029904 + 285711409 = 26852^2 + 16903^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006741313 - 2²² = 1002547009 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006743313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503370656 + 503370657.

It is an arithmetic number, because the mean of its divisors is an integer number (503370657).

Almost surely, 2^1006741313 is an apocalyptic number.

It is an amenable number.

1006741313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006741313 is an equidigital number, since it uses as much as digits as its factorization.

1006741313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 1006741313 is about 31729.1870838192. The cubic root of 1006741313 is about 1002.2420736820.

The spelling of 1006741313 in words is "one billion, six million, seven hundred forty-one thousand, three hundred thirteen".