10345941225 has 27 divisors (see below), whose sum is σ = 18533463429. Its totient is φ = 5517021600.

The previous prime is 10345941187. The next prime is 10345941233. The reversal of 10345941225 is 52214954301.

The square root of 10345941225 is 101715.

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

10345941225 is a `hidden beast` number, since 1 + 0 + 34 + 594 + 12 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 440118441 + 9905822784 = 20979^2 + 99528^2 .

It is not a de Polignac number, because 10345941225 - 2⁷ = 10345941097 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10345941225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1522335 + ... + 1529115.

Almost surely, 2^10345941225 is an apocalyptic number.

10345941225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10345941225 is the 101715-th square number.

10345941225 is the 50858-th centered octagonal number.

It is an amenable number.

10345941225 is a deficient number, since it is larger than the sum of its proper divisors (8187522204).

10345941225 is an frugal number, since it uses more digits than its factorization.

10345941225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13578 (or 6789 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Multiplying 10345941225 by its sum of digits (36), we get a square (372453884100 = 610290²).

The spelling of 10345941225 in words is "ten billion, three hundred forty-five million, nine hundred forty-one thousand, two hundred twenty-five".