725352787253557 has 2 divisors, whose sum is σ = 725352787253558. Its totient is φ = 725352787253556.

The previous prime is 725352787253533. The next prime is 725352787253639. The reversal of 725352787253557 is 755352787253527.

725352787253557 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 688470899535441 + 36881887718116 = 26238729^2 + 6073046^2 .

It is an emirp because it is prime and its reverse (755352787253527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 725352787253557 - 2¹⁹ = 725352786729269 is a prime.

It is a super-2 number, since 2×725352787253557² (a number of 31 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 725352787253557.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (725352787253357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362676393626778 + 362676393626779.

It is an arithmetic number, because the mean of its divisors is an integer number (362676393626779).

Almost surely, 2^{725352787253557} is an apocalyptic number.

It is an amenable number.

725352787253557 is a deficient number, since it is larger than the sum of its proper divisors (1).

725352787253557 is an equidigital number, since it uses as much as digits as its factorization.

725352787253557 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4321800000, while the sum is 73.

The spelling of 725352787253557 in words is "seven hundred twenty-five trillion, three hundred fifty-two billion, seven hundred eighty-seven million, two hundred fifty-three thousand, five hundred fifty-seven".