125568407244361 has 9 divisors (see below), whose sum is σ = 126877370756871. Its totient is φ = 124272811831872.

The previous prime is 125568407244353. The next prime is 125568407244367. The reversal of 125568407244361 is 163442704865521.

It is a happy number.

The square root of 125568407244361 is 11205731.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 56385005910025 + 69183401334336 = 7508995^2 + 8317656^2 .

It is not a de Polignac number, because 125568407244361 - 2³ = 125568407244353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 125568407244296 and 125568407244305.

It is not an unprimeable number, because it can be changed into a prime (125568407244367) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1086898146 + ... + 1087013668.

Almost surely, 2^{125568407244361} is an apocalyptic number.

125568407244361 is the 11205731-st square number.

125568407244361 is the 5602866-th centered octagonal number.

It is an amenable number.

125568407244361 is a deficient number, since it is larger than the sum of its proper divisors (1308963512510).

125568407244361 is an frugal number, since it uses more digits than its factorization.

125568407244361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231240 (or 115620 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 58.

The spelling of 125568407244361 in words is "one hundred twenty-five trillion, five hundred sixty-eight billion, four hundred seven million, two hundred forty-four thousand, three hundred sixty-one".