1061010606006 has 96 divisors (see below), whose sum is σ = 2606909760000. Its totient is φ = 309173402304.

The previous prime is 1061010605981. The next prime is 1061010606023. The reversal of 1061010606006 is 6006060101601.

1061010606006 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1061010606006² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13026195 + ... + 13107393.

It is an arithmetic number, because the mean of its divisors is an integer number (27155310000).

Almost surely, 2^{1061010606006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1061010606006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303454880000).

1061010606006 is an abundant number, since it is smaller than the sum of its proper divisors (1545899153994).

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

1061010606006 is a wasteful number, since it uses less digits than its factorization.

1061010606006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84178 (or 84175 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 1061010606006 its reverse (6006060101601), we get a palindrome (7067070707607).

The spelling of 1061010606006 in words is "one trillion, sixty-one billion, ten million, six hundred six thousand, six".