725585386969 has 3 divisors (see below), whose sum is σ = 725586238783. Its totient is φ = 725584535156.

The previous prime is 725585386873. The next prime is 725585386973. The reversal of 725585386969 is 969683585527.

The square root of 725585386969 is 851813.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 18660926025 + 706924460944 = 136605^2 + 840788^2 .

It is not a de Polignac number, because 725585386969 - 2²⁷ = 725451169241 is a prime.

It is a super-3 number, since 3×725585386969³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (725585386369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 425907 + ... + 1277719.

Almost surely, 2^725585386969 is an apocalyptic number.

725585386969 is the 851813-rd square number.

725585386969 is the 425907-th centered octagonal number.

It is an amenable number.

725585386969 is a deficient number, since it is larger than the sum of its proper divisors (851814).

725585386969 is an frugal number, since it uses more digits than its factorization.

725585386969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703626 (or 851813 counting only the distinct ones).

The product of its digits is 979776000, while the sum is 73.

The spelling of 725585386969 in words is "seven hundred twenty-five billion, five hundred eighty-five million, three hundred eighty-six thousand, nine hundred sixty-nine".