10212525232 has 160 divisors (see below), whose sum is σ = 26073331200. Its totient is φ = 3762008064.

The previous prime is 10212525229. The next prime is 10212525299. The reversal of 10212525232 is 23252521201.

It is a super-3 number, since 3×10212525232³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10212525197 and 10212525206.

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, 1629048 + ... + 1635304.

It is an arithmetic number, because the mean of its divisors is an integer number (162958320).

Almost surely, 2^10212525232 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 10212525232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13036665600).

10212525232 is an abundant number, since it is smaller than the sum of its proper divisors (15860805968).

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

10212525232 is a wasteful number, since it uses less digits than its factorization.

10212525232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6363 (or 6357 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 10212525232 in words is "ten billion, two hundred twelve million, five hundred twenty-five thousand, two hundred thirty-two".