725258097 has 32 divisors (see below), whose sum is σ = 1156354560. Its totient is φ = 447586560.

The previous prime is 725257991. The next prime is 725258099. The reversal of 725258097 is 790852527.

It is a happy number.

It is not a de Polignac number, because 725258097 - 2⁷ = 725257969 is a prime.

It is a super-2 number, since 2×725258097² = 1051998614528122818, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (725258099) 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 31 ways as a sum of consecutive naturals, for example, 15048 + ... + 40950.

It is an arithmetic number, because the mean of its divisors is an integer number (36136080).

Almost surely, 2^725258097 is an apocalyptic number.

It is an amenable number.

725258097 is a deficient number, since it is larger than the sum of its proper divisors (431096463).

725258097 is a wasteful number, since it uses less digits than its factorization.

725258097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25990 (or 25984 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 725258097 is about 26930.6163501692. The cubic root of 725258097 is about 898.4574799904.

The spelling of 725258097 in words is "seven hundred twenty-five million, two hundred fifty-eight thousand, ninety-seven".