10242525000000 has 504 divisors, whose sum is σ = 34799966557408. Its totient is φ = 2656800000000.

The previous prime is 10242524999933. The next prime is 10242525000011. The reversal of 10242525000000 is 52524201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2774998155 + ... + 2775001845.

Almost surely, 2^{10242525000000} is an apocalyptic number.

10242525000000 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 10242525000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17399983278704).

10242525000000 is an abundant number, since it is smaller than the sum of its proper divisors (24557441557408).

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

10242525000000 is an frugal number, since it uses more digits than its factorization.

10242525000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3783 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

Adding to 10242525000000 its reverse (52524201), we get a palindrome (10242577524201).

The spelling of 10242525000000 in words is "ten trillion, two hundred forty-two billion, five hundred twenty-five million", and thus it is an aban number.