10225253142 has 96 divisors (see below), whose sum is σ = 25148279520. Its totient is φ = 2976652800.

The previous prime is 10225253113. The next prime is 10225253167. The reversal of 10225253142 is 24135252201.

10225253142 is a `hidden beast` number, since 102 + 2 + 525 + 31 + 4 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5676642 + ... + 5678442.

It is an arithmetic number, because the mean of its divisors is an integer number (261961245).

Almost surely, 2^10225253142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10225253142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12574139760).

10225253142 is an abundant number, since it is smaller than the sum of its proper divisors (14923026378).

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

10225253142 is a wasteful number, since it uses less digits than its factorization.

10225253142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 10225253142 in words is "ten billion, two hundred twenty-five million, two hundred fifty-three thousand, one hundred forty-two".