1006837558313 has 2 divisors, whose sum is σ = 1006837558314. Its totient is φ = 1006837558312.

The previous prime is 1006837558261. The next prime is 1006837558361. The reversal of 1006837558313 is 3138557386001.

1006837558313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 723311127529 + 283526430784 = 850477^2 + 532472^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006837558313 - 2¹⁴ = 1006837541929 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006837558213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503418779156 + 503418779157.

It is an arithmetic number, because the mean of its divisors is an integer number (503418779157).

Almost surely, 2^{1006837558313} is an apocalyptic number.

It is an amenable number.

1006837558313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006837558313 is an equidigital number, since it uses as much as digits as its factorization.

1006837558313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 1006837558313 in words is "one trillion, six billion, eight hundred thirty-seven million, five hundred fifty-eight thousand, three hundred thirteen".