1006000506501 has 16 divisors (see below), whose sum is σ = 1412035238400. Its totient is φ = 635321624688.

The previous prime is 1006000506491. The next prime is 1006000506503. The reversal of 1006000506501 is 1056050006001.

It is not a de Polignac number, because 1006000506501 - 2²¹ = 1005998409349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006000506503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129160 + ... + 1424318.

It is an arithmetic number, because the mean of its divisors is an integer number (88252202400).

Almost surely, 2^{1006000506501} is an apocalyptic number.

It is an amenable number.

1006000506501 is a deficient number, since it is larger than the sum of its proper divisors (406034731899).

1006000506501 is a wasteful number, since it uses less digits than its factorization.

1006000506501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308808.

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

The spelling of 1006000506501 in words is "one trillion, six billion, five hundred six thousand, five hundred one".