10505401303503 has 32 divisors (see below), whose sum is σ = 15260848416000. Its totient is φ = 6402362190336.

The previous prime is 10505401303429. The next prime is 10505401303519. The reversal of 10505401303503 is 30530310450501.

It is not a de Polignac number, because 10505401303503 - 2⁸ = 10505401303247 is a prime.

It is a super-3 number, since 3×10505401303503³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505401303703) 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, 12988528 + ... + 13773621.

It is an arithmetic number, because the mean of its divisors is an integer number (476901513000).

Almost surely, 2^{10505401303503} is an apocalyptic number.

10505401303503 is a deficient number, since it is larger than the sum of its proper divisors (4755447112497).

10505401303503 is a wasteful number, since it uses less digits than its factorization.

10505401303503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26762391.

The product of its (nonzero) digits is 13500, while the sum is 30.

The spelling of 10505401303503 in words is "ten trillion, five hundred five billion, four hundred one million, three hundred three thousand, five hundred three".