725763001 has 2 divisors, whose sum is σ = 725763002. Its totient is φ = 725763000.

The previous prime is 725762977. The next prime is 725763011. The reversal of 725763001 is 100367527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 677821225 + 47941776 = 26035^2 + 6924^2 .

It is a cyclic number.

It is not a de Polignac number, because 725763001 - 2¹¹ = 725760953 is a prime.

It is not a weakly prime, because it can be changed into another prime (725763011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362881500 + 362881501.

It is an arithmetic number, because the mean of its divisors is an integer number (362881501).

Almost surely, 2^725763001 is an apocalyptic number.

It is an amenable number.

725763001 is a deficient number, since it is larger than the sum of its proper divisors (1).

725763001 is an equidigital number, since it uses as much as digits as its factorization.

725763001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 725763001 is about 26939.9888827000. The cubic root of 725763001 is about 898.6659251167.

The spelling of 725763001 in words is "seven hundred twenty-five million, seven hundred sixty-three thousand, one".