126581541 has 16 divisors (see below), whose sum is σ = 180445824. Its totient is φ = 78649344.

The previous prime is 126581537. The next prime is 126581563. The reversal of 126581541 is 145185621.

It is not a de Polignac number, because 126581541 - 2² = 126581537 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126581531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6796 + ... + 17301.

It is an arithmetic number, because the mean of its divisors is an integer number (11277864).

Almost surely, 2^126581541 is an apocalyptic number.

It is an amenable number.

126581541 is a deficient number, since it is larger than the sum of its proper divisors (53864283).

126581541 is a wasteful number, since it uses less digits than its factorization.

126581541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24220.

The product of its digits is 9600, while the sum is 33.

The square root of 126581541 is about 11250.8462348394. The cubic root of 126581541 is about 502.0998899120.

The spelling of 126581541 in words is "one hundred twenty-six million, five hundred eighty-one thousand, five hundred forty-one".