725263536626753 has 2 divisors, whose sum is σ = 725263536626754. Its totient is φ = 725263536626752.

The previous prime is 725263536626693. The next prime is 725263536626771. The reversal of 725263536626753 is 357626635362527.

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., 715747193916304 + 9516342710449 = 26753452^2 + 3084857^2 .

It is a cyclic number.

It is not a de Polignac number, because 725263536626753 - 2⁶ = 725263536626689 is a prime.

It is not a weakly prime, because it can be changed into another prime (725263536626353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362631768313376 + 362631768313377.

It is an arithmetic number, because the mean of its divisors is an integer number (362631768313377).

Almost surely, 2^{725263536626753} is an apocalyptic number.

It is an amenable number.

725263536626753 is a deficient number, since it is larger than the sum of its proper divisors (1).

725263536626753 is an equidigital number, since it uses as much as digits as its factorization.

725263536626753 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1714608000, while the sum is 68.

The spelling of 725263536626753 in words is "seven hundred twenty-five trillion, two hundred sixty-three billion, five hundred thirty-six million, six hundred twenty-six thousand, seven hundred fifty-three".