125774632475041 has 27 divisors (see below), whose sum is σ = 140351575398867. Its totient is φ = 112626597378240.

The previous prime is 125774632475039. The next prime is 125774632475081. The reversal of 125774632475041 is 140574236477521.

The square root of 125774632475041 is 11214929.

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., 107451986469025 + 18322646006016 = 10365905^2 + 4280496^2 .

It is not a de Polignac number, because 125774632475041 - 2¹ = 125774632475039 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125774632475081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8265395065 + ... + 8265410281.

Almost surely, 2^{125774632475041} is an apocalyptic number.

125774632475041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

125774632475041 is the 11214929-th square number.

125774632475041 is the 5607465-th centered octagonal number.

It is an amenable number.

125774632475041 is a deficient number, since it is larger than the sum of its proper divisors (14576942923826).

125774632475041 is an frugal number, since it uses more digits than its factorization.

125774632475041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30590 (or 15295 counting only the distinct ones).

The product of its (nonzero) digits is 39513600, while the sum is 58.

The spelling of 125774632475041 in words is "one hundred twenty-five trillion, seven hundred seventy-four billion, six hundred thirty-two million, four hundred seventy-five thousand, forty-one".