10005056061 has 64 divisors (see below), whose sum is σ = 18089035776. Its totient is φ = 4749984000.

The previous prime is 10005056059. The next prime is 10005056069. The reversal of 10005056061 is 16065050001.

It is not a de Polignac number, because 10005056061 - 2¹ = 10005056059 is a prime.

It is a super-2 number, since 2×10005056061² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005056069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286810 + ... + 319796.

It is an arithmetic number, because the mean of its divisors is an integer number (282641184).

Almost surely, 2^10005056061 is an apocalyptic number.

10005056061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10005056061 is a deficient number, since it is larger than the sum of its proper divisors (8083979715).

10005056061 is a wasteful number, since it uses less digits than its factorization.

10005056061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33122.

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 10005056061 in words is "ten billion, five million, fifty-six thousand, sixty-one".