1006055001061 has 48 divisors (see below), whose sum is σ = 1176769359360. Its totient is φ = 858157977600.

The previous prime is 1006055001059. The next prime is 1006055001151. The reversal of 1006055001061 is 1601005506001.

It is not a de Polignac number, because 1006055001061 - 2¹ = 1006055001059 is a prime.

It is a super-2 number, since 2×1006055001061² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006055001661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16124421 + ... + 16186693.

It is an arithmetic number, because the mean of its divisors is an integer number (24516028320).

Almost surely, 2^{1006055001061} is an apocalyptic number.

1006055001061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1006055001061 is a deficient number, since it is larger than the sum of its proper divisors (170714358299).

1006055001061 is a wasteful number, since it uses less digits than its factorization.

1006055001061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62458 (or 62447 counting only the distinct ones).

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

The spelling of 1006055001061 in words is "one trillion, six billion, fifty-five million, one thousand, sixty-one".