10006562281001 has 32 divisors (see below), whose sum is σ = 11852656155648. Its totient is φ = 8328328856640.

The previous prime is 10006562280989. The next prime is 10006562281007. The reversal of 10006562281001 is 10018226560001.

It is not a de Polignac number, because 10006562281001 - 2¹⁰ = 10006562279977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10006562281007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7951190 + ... + 9123296.

It is an arithmetic number, because the mean of its divisors is an integer number (370395504864).

Almost surely, 2^{10006562281001} is an apocalyptic number.

10006562281001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10006562281001 is a deficient number, since it is larger than the sum of its proper divisors (1846093874647).

10006562281001 is a wasteful number, since it uses less digits than its factorization.

10006562281001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172621.

The product of its (nonzero) digits is 5760, while the sum is 32.

The spelling of 10006562281001 in words is "ten trillion, six billion, five hundred sixty-two million, two hundred eighty-one thousand, one".