501364541041 has 81 divisors (see below), whose sum is σ = 655173498699. Its totient is φ = 382358340000.

The previous prime is 501364541023. The next prime is 501364541071. The reversal of 501364541041 is 140145463105.

The square root of 501364541041 is 708071.

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., 74166352225 + 427198188816 = 272335^2 + 653604^2 .

It is not a de Polignac number, because 501364541041 - 2⁹ = 501364540529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 501364540988 and 501364541006.

It is not an unprimeable number, because it can be changed into a prime (501364541071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1997468166 + ... + 1997468416.

Almost surely, 2^501364541041 is an apocalyptic number.

501364541041 is the 708071-st square number.

501364541041 is the 354036-th centered octagonal number.

It is an amenable number.

501364541041 is a deficient number, since it is larger than the sum of its proper divisors (153808957658).

501364541041 is an equidigital number, since it uses as much as digits as its factorization.

501364541041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 501364541041 in words is "five hundred one billion, three hundred sixty-four million, five hundred forty-one thousand, forty-one".