10125325314 has 72 divisors (see below), whose sum is σ = 24216992436. Its totient is φ = 3039379200.

The previous prime is 10125325303. The next prime is 10125325319. The reversal of 10125325314 is 41352352101.

10125325314 is a `hidden beast` number, since 1 + 0 + 1 + 25 + 325 + 314 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 181845225 + 9943480089 = 13485^2 + 99717^2 .

It is not an unprimeable number, because it can be changed into a prime (10125325319) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 380484 + ... + 406224.

Almost surely, 2^10125325314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10125325314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12108496218).

10125325314 is an abundant number, since it is smaller than the sum of its proper divisors (14091667122).

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

10125325314 is a wasteful number, since it uses less digits than its factorization.

10125325314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25844 (or 25800 counting only the distinct ones).

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

Adding to 10125325314 its reverse (41352352101), we get a palindrome (51477677415).

The spelling of 10125325314 in words is "ten billion, one hundred twenty-five million, three hundred twenty-five thousand, three hundred fourteen".