1006001005061 has 24 divisors (see below), whose sum is σ = 1177663237920. Its totient is φ = 855964863936.

The previous prime is 1006001005057. The next prime is 1006001005267. The reversal of 1006001005061 is 1605001006001.

It is a happy number.

It is not a de Polignac number, because 1006001005061 - 2² = 1006001005057 is a prime.

It is a super-3 number, since 3×1006001005061³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006001004061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4114955 + ... + 4352568.

It is an arithmetic number, because the mean of its divisors is an integer number (49069301580).

Almost surely, 2^{1006001005061} is an apocalyptic number.

It is an amenable number.

1006001005061 is a deficient number, since it is larger than the sum of its proper divisors (171662232859).

1006001005061 is a wasteful number, since it uses less digits than its factorization.

1006001005061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8467605 (or 8467592 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 1006001005061 in words is "one trillion, six billion, one million, five thousand, sixty-one".