725272301549 has 2 divisors, whose sum is σ = 725272301550. Its totient is φ = 725272301548.

The previous prime is 725272301459. The next prime is 725272301587. The reversal of 725272301549 is 945103272527.

Together with previous prime (725272301459) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 423173668324 + 302098633225 = 650518^2 + 549635^2 .

It is a cyclic number.

It is not a de Polignac number, because 725272301549 - 2²⁰ = 725271252973 is a prime.

It is a super-2 number, since 2×725272301549² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (725272321549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362636150774 + 362636150775.

It is an arithmetic number, because the mean of its divisors is an integer number (362636150775).

Almost surely, 2^725272301549 is an apocalyptic number.

It is an amenable number.

725272301549 is a deficient number, since it is larger than the sum of its proper divisors (1).

725272301549 is an equidigital number, since it uses as much as digits as its factorization.

725272301549 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1058400, while the sum is 47.

The spelling of 725272301549 in words is "seven hundred twenty-five billion, two hundred seventy-two million, three hundred one thousand, five hundred forty-nine".