1006501160061 has 8 divisors (see below), whose sum is σ = 1491112829760. Its totient is φ = 671000773356.

The previous prime is 1006501160059. The next prime is 1006501160087. The reversal of 1006501160061 is 1600611056001.

1006501160061 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 50 + 1 + 1 + 600 + 6 + 1 = 666.

1006501160061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1006501160061 - 2¹ = 1006501160059 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 37277820743 = 1006501160061 / (1 + 0 + 0 + 6 + 5 + 0 + 1 + 1 + 6 + 0 + 0 + 6 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006501160051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18638910345 + ... + 18638910398.

It is an arithmetic number, because the mean of its divisors is an integer number (186389103720).

Almost surely, 2^{1006501160061} is an apocalyptic number.

It is an amenable number.

1006501160061 is a deficient number, since it is larger than the sum of its proper divisors (484611669699).

1006501160061 is an equidigital number, since it uses as much as digits as its factorization.

1006501160061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37277820752 (or 37277820746 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 1006501160061 in words is "one trillion, six billion, five hundred one million, one hundred sixty thousand, sixty-one".