1001016566500 has 24 divisors (see below), whose sum is σ = 2186220182328. Its totient is φ = 400406626400.

The previous prime is 1001016566491. The next prime is 1001016566507. The reversal of 1001016566500 is 56656101001.

It can be written as a sum of positive squares in 4 ways, for example, as 111752478436 + 889264088064 = 334294^2 + 943008^2 .

It is not an unprimeable number, because it can be changed into a prime (1001016566507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1001016067 + ... + 1001017066.

It is an arithmetic number, because the mean of its divisors is an integer number (91092507597).

Almost surely, 2^{1001016566500} is an apocalyptic number.

1001016566500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001016566500 is an abundant number, since it is smaller than the sum of its proper divisors (1185203615828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001016566500 is a wasteful number, since it uses less digits than its factorization.

1001016566500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002033152 (or 2002033140 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 1001016566500 in words is "one trillion, one billion, sixteen million, five hundred sixty-six thousand, five hundred".