1006646825061 has 24 divisors (see below), whose sum is σ = 1508072346144. Its totient is φ = 671020711920.

The previous prime is 1006646825053. The next prime is 1006646825081. The reversal of 1006646825061 is 1605286466001.

1006646825061 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 64 + 6 + 82 + 506 + 1 = 666.

It is not a de Polignac number, because 1006646825061 - 2³ = 1006646825053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006646824998 and 1006646825016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006646825081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1919470 + ... + 2386976.

It is an arithmetic number, because the mean of its divisors is an integer number (62836347756).

Almost surely, 2^{1006646825061} is an apocalyptic number.

It is an amenable number.

1006646825061 is a deficient number, since it is larger than the sum of its proper divisors (501425521083).

1006646825061 is an frugal number, since it uses more digits than its factorization.

1006646825061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476383 (or 476371 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1006646825061 in words is "one trillion, six billion, six hundred forty-six million, eight hundred twenty-five thousand, sixty-one".