725121333066409 has 2 divisors, whose sum is σ = 725121333066410. Its totient is φ = 725121333066408.

The previous prime is 725121333066401. The next prime is 725121333066419. The reversal of 725121333066409 is 904660333121527.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 723946450500009 + 1174882566400 = 26906253^2 + 1083920^2 .

It is a cyclic number.

It is not a de Polignac number, because 725121333066409 - 2³ = 725121333066401 is a prime.

It is not a weakly prime, because it can be changed into another prime (725121333066401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362560666533204 + 362560666533205.

It is an arithmetic number, because the mean of its divisors is an integer number (362560666533205).

Almost surely, 2^{725121333066409} is an apocalyptic number.

It is an amenable number.

725121333066409 is a deficient number, since it is larger than the sum of its proper divisors (1).

725121333066409 is an equidigital number, since it uses as much as digits as its factorization.

725121333066409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4898880, while the sum is 52.

The spelling of 725121333066409 in words is "seven hundred twenty-five trillion, one hundred twenty-one billion, three hundred thirty-three million, sixty-six thousand, four hundred nine".