1006055601001 has 4 divisors (see below), whose sum is σ = 1097515201104. Its totient is φ = 914596000900.

The previous prime is 1006055600939. The next prime is 1006055601007. The reversal of 1006055601001 is 1001065506001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1006055601001 - 2¹¹ = 1006055598953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006055601007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45729800035 + ... + 45729800056.

It is an arithmetic number, because the mean of its divisors is an integer number (274378800276).

Almost surely, 2^{1006055601001} is an apocalyptic number.

1006055601001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1006055601001 is a deficient number, since it is larger than the sum of its proper divisors (91459600103).

1006055601001 is an equidigital number, since it uses as much as digits as its factorization.

1006055601001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91459600102.

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 1006055601001 in words is "one trillion, six billion, fifty-five million, six hundred one thousand, one".