725311 has 4 divisors (see below), whose sum is σ = 744952. Its totient is φ = 705672.

The previous prime is 725303. The next prime is 725317. The reversal of 725311 is 113527.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 113527 = 107 ⋅1061.

It is a cyclic number.

It is not a de Polignac number, because 725311 - 2³ = 725303 is a prime.

It is a Duffinian number.

725311 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725317) 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 in 3 ways as a sum of consecutive naturals, for example, 9765 + ... + 9838.

It is an arithmetic number, because the mean of its divisors is an integer number (186238).

2⁷²⁵³¹¹ is an apocalyptic number.

725311 is a deficient number, since it is larger than the sum of its proper divisors (19641).

725311 is a wasteful number, since it uses less digits than its factorization.

725311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19640.

The product of its digits is 210, while the sum is 19.

The square root of 725311 is about 851.6519242038. The cubic root of 725311 is about 89.8479325060.

Adding to 725311 its reverse (113527), we get a palindrome (838838).

The spelling of 725311 in words is "seven hundred twenty-five thousand, three hundred eleven".