125741869201 has 9 divisors (see below), whose sum is σ = 136163347281. Its totient is φ = 116065162512.

The previous prime is 125741869171. The next prime is 125741869271. The reversal of 125741869201 is 102968147521.

The square root of 125741869201 is 354601.

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

It can be written as a sum of positive squares in 4 ways, for example, as 52257502801 + 73484366400 = 228599^2 + 271080^2 .

It is not a de Polignac number, because 125741869201 - 2¹⁵ = 125741836433 is a prime.

It is a super-2 number, since 2×125741869201² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125741869271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4596175 + ... + 4623451.

It is an arithmetic number, because the mean of its divisors is an integer number (15129260809).

Almost surely, 2^125741869201 is an apocalyptic number.

125741869201 is the 354601-st square number.

125741869201 is the 177301-st centered octagonal number.

It is an amenable number.

125741869201 is a deficient number, since it is larger than the sum of its proper divisors (10421478080).

125741869201 is an frugal number, since it uses more digits than its factorization.

125741869201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54580 (or 27290 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 125741869201 in words is "one hundred twenty-five billion, seven hundred forty-one million, eight hundred sixty-nine thousand, two hundred one".