725286982961 has 2 divisors, whose sum is σ = 725286982962. Its totient is φ = 725286982960.

The previous prime is 725286982837. The next prime is 725286982993. The reversal of 725286982961 is 169289682527.

725286982961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 426330643600 + 298956339361 = 652940^2 + 546769^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-725286982961 is a prime.

It is not a weakly prime, because it can be changed into another prime (725286982661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362643491480 + 362643491481.

It is an arithmetic number, because the mean of its divisors is an integer number (362643491481).

Almost surely, 2^725286982961 is an apocalyptic number.

It is an amenable number.

725286982961 is a deficient number, since it is larger than the sum of its proper divisors (1).

725286982961 is an equidigital number, since it uses as much as digits as its factorization.

725286982961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 52254720, while the sum is 65.

The spelling of 725286982961 in words is "seven hundred twenty-five billion, two hundred eighty-six million, nine hundred eighty-two thousand, nine hundred sixty-one".