501431541 has 48 divisors (see below), whose sum is σ = 788743872. Its totient is φ = 280696320.

The previous prime is 501431531. The next prime is 501431543. The reversal of 501431541 is 145134105.

It is a happy number.

It is not a de Polignac number, because 501431541 - 2²³ = 493042933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501431543) 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 47 ways as a sum of consecutive naturals, for example, 636750 + ... + 637536.

It is an arithmetic number, because the mean of its divisors is an integer number (16432164).

Almost surely, 2^501431541 is an apocalyptic number.

501431541 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

501431541 is a deficient number, since it is larger than the sum of its proper divisors (287312331).

501431541 is a wasteful number, since it uses less digits than its factorization.

501431541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 501431541 is about 22392.6671256463. The cubic root of 501431541 is about 794.4572807890.

Adding to 501431541 its reverse (145134105), we get a palindrome (646565646).

The spelling of 501431541 in words is "five hundred one million, four hundred thirty-one thousand, five hundred forty-one".