1006715341206 has 64 divisors (see below), whose sum is σ = 2322660464640. Its totient is φ = 322869641760.

The previous prime is 1006715341201. The next prime is 1006715341207. The reversal of 1006715341206 is 6021435176001.

1006715341206 is a `hidden beast` number, since 100 + 6 + 7 + 1 + 5 + 341 + 206 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006715341201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1448500 + ... + 2027703.

It is an arithmetic number, because the mean of its divisors is an integer number (36291569760).

Almost surely, 2^{1006715341206} is an apocalyptic number.

1006715341206 is an abundant number, since it is smaller than the sum of its proper divisors (1315945123434).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1006715341206 is a wasteful number, since it uses less digits than its factorization.

1006715341206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3476418 (or 3476412 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

It can be divided in two parts, 1006715 and 341206, that added together give a square (1347921 = 1161²).

The spelling of 1006715341206 in words is "one trillion, six billion, seven hundred fifteen million, three hundred forty-one thousand, two hundred six".