1003136441256 has 32 divisors (see below), whose sum is σ = 2786490115200. Its totient is φ = 334378813680.

The previous prime is 1003136441249. The next prime is 1003136441299. The reversal of 1003136441256 is 6521446313001.

1003136441256 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 1 + 3 + 644 + 1 + 2 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1003136441256.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2322074880 + ... + 2322075311.

It is an arithmetic number, because the mean of its divisors is an integer number (87077816100).

Almost surely, 2^{1003136441256} is an apocalyptic number.

It is an amenable number.

1003136441256 is an abundant number, since it is smaller than the sum of its proper divisors (1783353673944).

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

1003136441256 is a wasteful number, since it uses less digits than its factorization.

1003136441256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4644150206 (or 4644150196 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1003136441256 in words is "one trillion, three billion, one hundred thirty-six million, four hundred forty-one thousand, two hundred fifty-six".