10352525112 has 192 divisors, whose sum is σ = 30079620480. Its totient is φ = 3333197952.

The previous prime is 10352525087. The next prime is 10352525129. The reversal of 10352525112 is 21152525301.

10352525112 is a `hidden beast` number, since 1 + 0 + 3 + 525 + 25 + 112 = 666.

It is a super-2 number, since 2×10352525112² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11723823 + ... + 11724705.

It is an arithmetic number, because the mean of its divisors is an integer number (156664690).

Almost surely, 2^10352525112 is an apocalyptic number.

10352525112 is a gapful number since it is divisible by the number (12) 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 10352525112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15039810240).

10352525112 is an abundant number, since it is smaller than the sum of its proper divisors (19727095368).

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

10352525112 is a wasteful number, since it uses less digits than its factorization.

10352525112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 10352525112 in words is "ten billion, three hundred fifty-two million, five hundred twenty-five thousand, one hundred twelve".