5153205103104 has 320 divisors, whose sum is σ = 14950394363520. Its totient is φ = 1571880960000.

The previous prime is 5153205103027. The next prime is 5153205103127. The reversal of 5153205103104 is 4013015023515.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120829624 + ... + 120872264.

It is an arithmetic number, because the mean of its divisors is an integer number (46719982386).

Almost surely, 2^{5153205103104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5153205103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7475197181760).

5153205103104 is an abundant number, since it is smaller than the sum of its proper divisors (9797189260416).

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

5153205103104 is a wasteful number, since it uses less digits than its factorization.

5153205103104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42823 (or 42807 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 5153205103104 in words is "five trillion, one hundred fifty-three billion, two hundred five million, one hundred three thousand, one hundred four".