501761139201 has 81 divisors (see below), whose sum is σ = 854930403171. Its totient is φ = 282751051968.

The previous prime is 501761139181. The next prime is 501761139241. The reversal of 501761139201 is 102931167105.

It is a happy number.

The square root of 501761139201 is 708351.

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

501761139201 is a `hidden beast` number, since 5 + 0 + 1 + 7 + 611 + 39 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96348780801 + 405412358400 = 310401^2 + 636720^2 .

It is not a de Polignac number, because 501761139201 - 2⁹ = 501761138689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (501761139241) 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 80 ways as a sum of consecutive naturals, for example, 1323907830 + ... + 1323908208.

Almost surely, 2^501761139201 is an apocalyptic number.

501761139201 is the 708351-st square number.

501761139201 is the 354176-th centered octagonal number.

It is an amenable number.

501761139201 is a deficient number, since it is larger than the sum of its proper divisors (353169263970).

501761139201 is an frugal number, since it uses more digits than its factorization.

501761139201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

Multiplying 501761139201 by its sum of digits (36), we get a square (18063401011236 = 4250106²).

The spelling of 501761139201 in words is "five hundred one billion, seven hundred sixty-one million, one hundred thirty-nine thousand, two hundred one".