725452001 has 2 divisors, whose sum is σ = 725452002. Its totient is φ = 725452000.

The previous prime is 725451989. The next prime is 725452037. The reversal of 725452001 is 100254527.

725452001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 674700625 + 50751376 = 25975^2 + 7124^2 .

It is a cyclic number.

It is not a de Polignac number, because 725452001 - 2¹⁰ = 725450977 is a prime.

It is equal to p_37501523 and since 725452001 and 37501523 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (725452051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362726000 + 362726001.

It is an arithmetic number, because the mean of its divisors is an integer number (362726001).

Almost surely, 2^725452001 is an apocalyptic number.

It is an amenable number.

725452001 is a deficient number, since it is larger than the sum of its proper divisors (1).

725452001 is an equidigital number, since it uses as much as digits as its factorization.

725452001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 725452001 is about 26934.2161757123. The cubic root of 725452001 is about 898.5375429713.

The spelling of 725452001 in words is "seven hundred twenty-five million, four hundred fifty-two thousand, one".