1002404513205 has 24 divisors (see below), whose sum is σ = 1839707107992. Its totient is φ = 503167755264.

The previous prime is 1002404513203. The next prime is 1002404513237. The reversal of 1002404513205 is 5023154042001.

1002404513205 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 4 + 0 + 451 + 3 + 205 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24714669681 + 977689843524 = 157209^2 + 988782^2 .

It is not a de Polignac number, because 1002404513205 - 2¹ = 1002404513203 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002404513203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 655165584 + ... + 655167113.

It is an arithmetic number, because the mean of its divisors is an integer number (76654462833).

Almost surely, 2^{1002404513205} is an apocalyptic number.

1002404513205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1002404513205 is a deficient number, since it is larger than the sum of its proper divisors (837302594787).

1002404513205 is a wasteful number, since it uses less digits than its factorization.

1002404513205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310332725 (or 1310332722 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 1002404513205 its reverse (5023154042001), we get a palindrome (6025558555206).

The spelling of 1002404513205 in words is "one trillion, two billion, four hundred four million, five hundred thirteen thousand, two hundred five".