12952801 has 9 divisors (see below), whose sum is σ = 13395603. Its totient is φ = 12524520.

The previous prime is 12952799. The next prime is 12952817. The reversal of 12952801 is 10825921.

The square root of 12952801 is 3599.

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., 421201 + 12531600 = 649^2 + 3540^2 .

It is not a de Polignac number, because 12952801 - 2¹ = 12952799 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12952801.

It is not an unprimeable number, because it can be changed into a prime (12952831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 212311 + ... + 212371.

Almost surely, 2^12952801 is an apocalyptic number.

12952801 is the 3599-th square number.

12952801 is the 1800-th centered octagonal number.

It is an amenable number.

12952801 is a deficient number, since it is larger than the sum of its proper divisors (442802).

12952801 is an frugal number, since it uses more digits than its factorization.

12952801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The cubic root of 12952801 is about 234.8485579267.

It can be divided in two parts, 1295 and 2801, that added together give a 12-th power (4096 = 2¹²).

The spelling of 12952801 in words is "twelve million, nine hundred fifty-two thousand, eight hundred one".