725763601 has 2 divisors, whose sum is σ = 725763602. Its totient is φ = 725763600.

The previous prime is 725763593. The next prime is 725763607. The reversal of 725763601 is 106367527.

It is a Cunningham number, because it is equal to 26940²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 725763600 + 1 = 26940^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 725763601 - 2³ = 725763593 is a prime.

It is equal to p_37516870 and since 725763601 and 37516870 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 (725763607) 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 as a sum of consecutive naturals, namely, 362881800 + 362881801.

It is an arithmetic number, because the mean of its divisors is an integer number (362881801).

Almost surely, 2^725763601 is an apocalyptic number.

It is an amenable number.

725763601 is a deficient number, since it is larger than the sum of its proper divisors (1).

725763601 is an equidigital number, since it uses as much as digits as its factorization.

725763601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 725763601 is about 26940.0000185598. Note that the first 4 decimals coincide. The cubic root of 725763601 is about 898.6661727639. Note that the first 3 decimals are identical.

The spelling of 725763601 in words is "seven hundred twenty-five million, seven hundred sixty-three thousand, six hundred one".