725206261 has 16 divisors (see below), whose sum is σ = 830342016. Its totient is φ = 628220736.

The previous prime is 725206217. The next prime is 725206297. The reversal of 725206261 is 162602527.

It is not a de Polignac number, because 725206261 - 2⁷ = 725206133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725206561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7035 + ... + 38728.

It is an arithmetic number, because the mean of its divisors is an integer number (51896376).

Almost surely, 2^725206261 is an apocalyptic number.

It is an amenable number.

725206261 is a deficient number, since it is larger than the sum of its proper divisors (105135755).

725206261 is a wasteful number, since it uses less digits than its factorization.

725206261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45852.

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 725206261 is about 26929.6539339071. The cubic root of 725206261 is about 898.4360744835.

Adding to 725206261 its reverse (162602527), we get a palindrome (887808788).

The spelling of 725206261 in words is "seven hundred twenty-five million, two hundred six thousand, two hundred sixty-one".