10002053001304 has 256 divisors, whose sum is σ = 24148955980800. Its totient is φ = 3778119272448.

The previous prime is 10002053001277. The next prime is 10002053001313. The reversal of 10002053001304 is 40310035020001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 974189179 + ... + 974199445.

It is an arithmetic number, because the mean of its divisors is an integer number (94331859300).

Almost surely, 2^{10002053001304} is an apocalyptic number.

10002053001304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002053001304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12074477990400).

10002053001304 is an abundant number, since it is smaller than the sum of its proper divisors (14146902979496).

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

10002053001304 is a wasteful number, since it uses less digits than its factorization.

10002053001304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11002 (or 10998 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 10002053001304 its reverse (40310035020001), we get a palindrome (50312088021305).

The spelling of 10002053001304 in words is "ten trillion, two billion, fifty-three million, one thousand, three hundred four".