10505063504 has 80 divisors (see below), whose sum is σ = 23235669072. Its totient is φ = 4557963264.

The previous prime is 10505063497. The next prime is 10505063537. The reversal of 10505063504 is 40536050501.

It can be written as a sum of positive squares in 8 ways, for example, as 50410000 + 10454653504 = 7100^2 + 102248^2 .

It is a super-2 number, since 2×10505063504² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5490452 + ... + 5492364.

Almost surely, 2^10505063504 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 10505063504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11617834536).

10505063504 is an abundant number, since it is smaller than the sum of its proper divisors (12730605568).

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

10505063504 is a wasteful number, since it uses less digits than its factorization.

10505063504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The spelling of 10505063504 in words is "ten billion, five hundred five million, sixty-three thousand, five hundred four".