1006006010061 has 16 divisors (see below), whose sum is σ = 1444653541184. Its totient is φ = 619024011264.

The previous prime is 1006006010059. The next prime is 1006006010081. The reversal of 1006006010061 is 1600106006001.

It is not a de Polignac number, because 1006006010061 - 2¹ = 1006006010059 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006006010011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745396 + ... + 1602381.

It is an arithmetic number, because the mean of its divisors is an integer number (90290846324).

Almost surely, 2^{1006006010061} is an apocalyptic number.

It is an amenable number.

1006006010061 is a deficient number, since it is larger than the sum of its proper divisors (438647531123).

1006006010061 is a wasteful number, since it uses less digits than its factorization.

1006006010061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358780.

The product of its (nonzero) digits is 216, while the sum is 21.

The spelling of 1006006010061 in words is "one trillion, six billion, six million, ten thousand, sixty-one".