725540606873 has 2 divisors, whose sum is σ = 725540606874. Its totient is φ = 725540606872.

The previous prime is 725540606809. The next prime is 725540606881. The reversal of 725540606873 is 378606045527.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 706420078144 + 19120528729 = 840488^2 + 138277^2 .

It is a cyclic number.

It is not a de Polignac number, because 725540606873 - 2⁶ = 725540606809 is a prime.

It is a super-2 number, since 2×725540606873² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (725540606803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362770303436 + 362770303437.

It is an arithmetic number, because the mean of its divisors is an integer number (362770303437).

Almost surely, 2^725540606873 is an apocalyptic number.

It is an amenable number.

725540606873 is a deficient number, since it is larger than the sum of its proper divisors (1).

725540606873 is an equidigital number, since it uses as much as digits as its factorization.

725540606873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8467200, while the sum is 53.

The spelling of 725540606873 in words is "seven hundred twenty-five billion, five hundred forty million, six hundred six thousand, eight hundred seventy-three".