125126541 has 6 divisors (see below), whose sum is σ = 180738350. Its totient is φ = 83417688.

The previous prime is 125126539. The next prime is 125126543. The reversal of 125126541 is 145621521.

125126541 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 2 + 654 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (125126539) and next prime (125126543).

It can be written as a sum of positive squares in only one way, i.e., 63441225 + 61685316 = 7965^2 + 7854^2 .

It is not a de Polignac number, because 125126541 - 2¹ = 125126539 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125126543) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6951466 + ... + 6951483.

Almost surely, 2^125126541 is an apocalyptic number.

It is an amenable number.

125126541 is a deficient number, since it is larger than the sum of its proper divisors (55611809).

125126541 is a wasteful number, since it uses less digits than its factorization.

125126541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13902955 (or 13902952 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 125126541 is about 11185.9975415695. The cubic root of 125126541 is about 500.1686644316.

The spelling of 125126541 in words is "one hundred twenty-five million, one hundred twenty-six thousand, five hundred forty-one".