10174728346225 has 27 divisors (see below), whose sum is σ = 12649518355851. Its totient is φ = 8118640782000.

The previous prime is 10174728346219. The next prime is 10174728346229. The reversal of 10174728346225 is 52264382747101.

The square root of 10174728346225 is 3189785.

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

It can be written as a sum of positive squares in only one way, i.e., 3662902204641 + 6511826141584 = 1913871^2 + 2551828^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10174728346225 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10174728346229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9680996950 + ... + 9680998000.

Almost surely, 2^{10174728346225} is an apocalyptic number.

10174728346225 is the 3189785-th square number.

10174728346225 is the 1594893-rd centered octagonal number.

It is an amenable number.

10174728346225 is a deficient number, since it is larger than the sum of its proper divisors (2474790009626).

10174728346225 is an frugal number, since it uses more digits than its factorization.

10174728346225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3326 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 52.

The spelling of 10174728346225 in words is "ten trillion, one hundred seventy-four billion, seven hundred twenty-eight million, three hundred forty-six thousand, two hundred twenty-five".