1002075313941 has 48 divisors (see below), whose sum is σ = 1601123685616. Its totient is φ = 599916284928.

The previous prime is 1002075313909. The next prime is 1002075313949. The reversal of 1002075313941 is 1493135702001.

1002075313941 is a `hidden beast` number, since 10 + 0 + 20 + 7 + 531 + 3 + 94 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4973211441 + 997102102500 = 70521^2 + 998550^2 .

It is not a de Polignac number, because 1002075313941 - 2⁵ = 1002075313909 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002075313896 and 1002075313905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002075313949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63684711 + ... + 63700443.

Almost surely, 2^{1002075313941} is an apocalyptic number.

It is an amenable number.

1002075313941 is a deficient number, since it is larger than the sum of its proper divisors (599048371675).

1002075313941 is a wasteful number, since it uses less digits than its factorization.

1002075313941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30502 (or 30499 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 1002075313941 in words is "one trillion, two billion, seventy-five million, three hundred thirteen thousand, nine hundred forty-one".