1006536471136 has 96 divisors (see below), whose sum is σ = 2417478981120. Its totient is φ = 402912921600.

The previous prime is 1006536471097. The next prime is 1006536471167. The reversal of 1006536471136 is 6311746356001.

It is a happy number.

It is a super-2 number, since 2×1006536471136² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1006536471092 and 1006536471101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1363305 + ... + 1967656.

It is an arithmetic number, because the mean of its divisors is an integer number (25182072720).

Almost surely, 2^{1006536471136} is an apocalyptic number.

1006536471136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1006536471136 is an abundant number, since it is smaller than the sum of its proper divisors (1410942509984).

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

1006536471136 is a wasteful number, since it uses less digits than its factorization.

1006536471136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331068 (or 3331060 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The spelling of 1006536471136 in words is "one trillion, six billion, five hundred thirty-six million, four hundred seventy-one thousand, one hundred thirty-six".