10501517364 has 72 divisors (see below), whose sum is σ = 26777409120. Its totient is φ = 3201524352.

The previous prime is 10501517363. The next prime is 10501517371. The reversal of 10501517364 is 46371510501.

It is a super-2 number, since 2×10501517364² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10501517363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197299 + ... + 244805.

It is an arithmetic number, because the mean of its divisors is an integer number (371908460).

Almost surely, 2^10501517364 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 10501517364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13388704560).

10501517364 is an abundant number, since it is smaller than the sum of its proper divisors (16275891756).

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

10501517364 is a wasteful number, since it uses less digits than its factorization.

10501517364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47649 (or 47634 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The spelling of 10501517364 in words is "ten billion, five hundred one million, five hundred seventeen thousand, three hundred sixty-four".