10024012253125 has 24 divisors (see below), whose sum is σ = 13492999095912. Its totient is φ = 7402347480000.

The previous prime is 10024012253113. The next prime is 10024012253137. The reversal of 10024012253125 is 52135221042001.

It is a happy number.

10024012253125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10024012253113) and next prime (10024012253137).

It can be written as a sum of positive squares in 12 ways, for example, as 7733566103041 + 2290446150084 = 2780929^2 + 1513422^2 .

It is not a de Polignac number, because 10024012253125 - 2⁹ = 10024012252613 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10024012253093 and 10024012253102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123331834 + ... + 123413083.

It is an arithmetic number, because the mean of its divisors is an integer number (562208295663).

Almost surely, 2^{10024012253125} is an apocalyptic number.

It is an amenable number.

10024012253125 is a deficient number, since it is larger than the sum of its proper divisors (3468986842787).

10024012253125 is an frugal number, since it uses more digits than its factorization.

10024012253125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246744955 (or 246744935 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 10024012253125 its reverse (52135221042001), we get a palindrome (62159233295126).

The spelling of 10024012253125 in words is "ten trillion, twenty-four billion, twelve million, two hundred fifty-three thousand, one hundred twenty-five".