1006676502300 has 144 divisors (see below), whose sum is σ = 3698604107520. Its totient is φ = 230097481920.

The previous prime is 1006676502283. The next prime is 1006676502313. The reversal of 1006676502300 is 32056766001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 26612754 + ... + 26650553.

Almost surely, 2^{1006676502300} is an apocalyptic number.

1006676502300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006676502300 is an abundant number, since it is smaller than the sum of its proper divisors (2691927605220).

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

1006676502300 is a wasteful number, since it uses less digits than its factorization.

1006676502300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53263337 (or 53263324 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 1006676502300 in words is "one trillion, six billion, six hundred seventy-six million, five hundred two thousand, three hundred".