725845294475993 has 2 divisors, whose sum is σ = 725845294475994. Its totient is φ = 725845294475992.

The previous prime is 725845294475989. The next prime is 725845294476061. The reversal of 725845294475993 is 399574492548527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 696497970997504 + 29347323478489 = 26391248^2 + 5417317^2 .

It is a cyclic number.

It is not a de Polignac number, because 725845294475993 - 2² = 725845294475989 is a prime.

It is not a weakly prime, because it can be changed into another prime (725845296475993) 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, 362922647237996 + 362922647237997.

It is an arithmetic number, because the mean of its divisors is an integer number (362922647237997).

Almost surely, 2^{725845294475993} is an apocalyptic number.

It is an amenable number.

725845294475993 is a deficient number, since it is larger than the sum of its proper divisors (1).

725845294475993 is an equidigital number, since it uses as much as digits as its factorization.

725845294475993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27433728000, while the sum is 83.

The spelling of 725845294475993 in words is "seven hundred twenty-five trillion, eight hundred forty-five billion, two hundred ninety-four million, four hundred seventy-five thousand, nine hundred ninety-three".