725167306261 has 2 divisors, whose sum is σ = 725167306262. Its totient is φ = 725167306260.

The previous prime is 725167306181. The next prime is 725167306271. The reversal of 725167306261 is 162603761527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 687416759236 + 37750547025 = 829106^2 + 194295^2 .

It is a cyclic number.

It is not a de Polignac number, because 725167306261 - 2⁹ = 725167305749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (725167306271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362583653130 + 362583653131.

It is an arithmetic number, because the mean of its divisors is an integer number (362583653131).

Almost surely, 2^725167306261 is an apocalyptic number.

It is an amenable number.

725167306261 is a deficient number, since it is larger than the sum of its proper divisors (1).

725167306261 is an equidigital number, since it uses as much as digits as its factorization.

725167306261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 635040, while the sum is 46.

The spelling of 725167306261 in words is "seven hundred twenty-five billion, one hundred sixty-seven million, three hundred six thousand, two hundred sixty-one".