10363305124125 has 48 divisors (see below), whose sum is σ = 18687908451888. Its totient is φ = 5525225136000.

The previous prime is 10363305124121. The next prime is 10363305124163. The reversal of 10363305124125 is 52142150336301.

10363305124125 is a `hidden beast` number, since 1 + 0 + 3 + 633 + 0 + 5 + 1 + 2 + 4 + 12 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1469227621689 + 8894077502436 = 1212117^2 + 2982294^2 .

It is not a de Polignac number, because 10363305124125 - 2² = 10363305124121 is a prime.

It is a super-3 number, since 3×10363305124125³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10363305124125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10363305124121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1768995 + ... + 4884255.

It is an arithmetic number, because the mean of its divisors is an integer number (389331426081).

Almost surely, 2^{10363305124125} is an apocalyptic number.

10363305124125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10363305124125 is a deficient number, since it is larger than the sum of its proper divisors (8324603327763).

10363305124125 is a wasteful number, since it uses less digits than its factorization.

10363305124125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118239 (or 3118226 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 10363305124125 in words is "ten trillion, three hundred sixty-three billion, three hundred five million, one hundred twenty-four thousand, one hundred twenty-five".