125832663441 has 81 divisors (see below), whose sum is σ = 195674091249. Its totient is φ = 77915515392.

The previous prime is 125832663419. The next prime is 125832663449. The reversal of 125832663441 is 144366238521.

The square root of 125832663441 is 354729.

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

125832663441 is a `hidden beast` number, since 1 + 2 + 5 + 8 + 3 + 2 + 6 + 634 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3933923841 + 121898739600 = 62721^2 + 349140^2 .

It is not a de Polignac number, because 125832663441 - 2¹¹ = 125832661393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125832663449) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1297243905 + ... + 1297244001.

Almost surely, 2^125832663441 is an apocalyptic number.

125832663441 is the 354729-th square number.

125832663441 is the 177365-th centered octagonal number.

It is an amenable number.

125832663441 is a deficient number, since it is larger than the sum of its proper divisors (69841427808).

125832663441 is an frugal number, since it uses more digits than its factorization.

125832663441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 176 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 125832663441 in words is "one hundred twenty-five billion, eight hundred thirty-two million, six hundred sixty-three thousand, four hundred forty-one".