1002145513041 has 32 divisors (see below), whose sum is σ = 1535941056000. Its totient is φ = 645023119104.

The previous prime is 1002145513013. The next prime is 1002145513051. The reversal of 1002145513041 is 1403155412001.

1002145513041 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 145 + 513 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 1002145513041 - 2³⁷ = 864706559569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1002145512996 and 1002145513014.

It is not an unprimeable number, because it can be changed into a prime (1002145513051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27832536 + ... + 27868518.

It is an arithmetic number, because the mean of its divisors is an integer number (47998158000).

Almost surely, 2^{1002145513041} is an apocalyptic number.

It is an amenable number.

1002145513041 is a deficient number, since it is larger than the sum of its proper divisors (533795542959).

1002145513041 is a wasteful number, since it uses less digits than its factorization.

1002145513041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71590 (or 71584 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 1002145513041 in words is "one trillion, two billion, one hundred forty-five million, five hundred thirteen thousand, forty-one".