10234080855625 has 45 divisors (see below), whose sum is σ = 14057997624979. Its totient is φ = 7442328080000.

The previous prime is 10234080855617. The next prime is 10234080855641. The reversal of 10234080855625 is 52655808043201.

The square root of 10234080855625 is 3199075.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 6142134458889 + 4091946396736 = 2478333^2 + 2022856^2 .

It is not a de Polignac number, because 10234080855625 - 2³ = 10234080855617 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 879739809 + ... + 879751441.

Almost surely, 2^{10234080855625} is an apocalyptic number.

10234080855625 is the 3199075-th square number.

10234080855625 is the 1599538-th centered octagonal number.

It is an amenable number.

10234080855625 is a deficient number, since it is larger than the sum of its proper divisors (3823916769354).

10234080855625 is an frugal number, since it uses more digits than its factorization.

10234080855625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23308 (or 11649 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 49.

Multiplying 10234080855625 by its sum of digits (49), we get a square (501469961925625 = 22393525²).

Adding to 10234080855625 its reverse (52655808043201), we get a palindrome (62889888898826).

The spelling of 10234080855625 in words is "ten trillion, two hundred thirty-four billion, eighty million, eight hundred fifty-five thousand, six hundred twenty-five".