725306019201 has 27 divisors (see below), whose sum is σ = 1112983344291. Its totient is φ = 455066720064.

The previous prime is 725306019187. The next prime is 725306019241. The reversal of 725306019201 is 102910603527.

The square root of 725306019201 is 851649.

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

725306019201 is a `hidden beast` number, since 7 + 25 + 3 + 0 + 601 + 9 + 20 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 564684617025 + 160621402176 = 751455^2 + 400776^2 .

It is not a de Polignac number, because 725306019201 - 2¹⁹ = 725305494913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (725306019241) 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, 43425750 + ... + 43442448.

Almost surely, 2^725306019201 is an apocalyptic number.

725306019201 is the 851649-th square number.

725306019201 is the 425825-th centered octagonal number.

It is an amenable number.

725306019201 is a deficient number, since it is larger than the sum of its proper divisors (387677325090).

725306019201 is an frugal number, since it uses more digits than its factorization.

725306019201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33438 (or 16719 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Multiplying 725306019201 by its sum of digits (36), we get a square (26111016691236 = 5109894²).

The spelling of 725306019201 in words is "seven hundred twenty-five billion, three hundred six million, nineteen thousand, two hundred one".