1006001512164 has 162 divisors, whose sum is σ = 2894859806930. Its totient is φ = 294335838720.

The previous prime is 1006001512151. The next prime is 1006001512169. The reversal of 1006001512164 is 4612151006001.

1006001512164 is a `hidden beast` number, since 1 + 0 + 0 + 600 + 1 + 51 + 2 + 1 + 6 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 210708540900 + 795292971264 = 459030^2 + 891792^2 .

It is not an unprimeable number, because it can be changed into a prime (1006001512169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3526092 + ... + 3800700.

Almost surely, 2^{1006001512164} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006001512164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447429903465).

1006001512164 is an abundant number, since it is smaller than the sum of its proper divisors (1888858294766).

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

1006001512164 is a wasteful number, since it uses less digits than its factorization.

1006001512164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274699 (or 274654 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 1006001512164 its reverse (4612151006001), we get a palindrome (5618152518165).

The spelling of 1006001512164 in words is "one trillion, six billion, one million, five hundred twelve thousand, one hundred sixty-four".