10523125260 has 96 divisors (see below), whose sum is σ = 32883217920. Its totient is φ = 2793772224.

The previous prime is 10523125241. The next prime is 10523125289. The reversal of 10523125260 is 6252132501.

It is a happy number.

10523125260 is a `hidden beast` number, since 10 + 523 + 125 + 2 + 6 + 0 = 666.

It is a super-2 number, since 2×10523125260² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 79657 + ... + 165503.

It is an arithmetic number, because the mean of its divisors is an integer number (342533520).

Almost surely, 2^10523125260 is an apocalyptic number.

10523125260 is a gapful number since it is divisible by the number (10) 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 10523125260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16441608960).

10523125260 is an abundant number, since it is smaller than the sum of its proper divisors (22360092660).

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

10523125260 is a wasteful number, since it uses less digits than its factorization.

10523125260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86092 (or 86084 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 10523125260 its reverse (6252132501), we get a palindrome (16775257761).

The spelling of 10523125260 in words is "ten billion, five hundred twenty-three million, one hundred twenty-five thousand, two hundred sixty".