500376561129 has 99 divisors (see below), whose sum is σ = 780301469527. Its totient is φ = 320864392800.

The previous prime is 500376561127. The next prime is 500376561163. The reversal of 500376561129 is 921165673005.

The square root of 500376561129 is 707373.

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

500376561129 is a `hidden beast` number, since 5 + 0 + 0 + 3 + 7 + 6 + 5 + 611 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24110946729 + 476265614400 = 155277^2 + 690120^2 .

It is not a de Polignac number, because 500376561129 - 2¹ = 500376561127 is a prime.

It is a super-4 number, since 4×500376561129⁴ (a number of 48 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (500376561127) 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 98 ways as a sum of consecutive naturals, for example, 7047557164 + ... + 7047557234.

Almost surely, 2^500376561129 is an apocalyptic number.

500376561129 is the 707373-rd square number.

500376561129 is the 353687-th centered octagonal number.

It is an amenable number.

500376561129 is a deficient number, since it is larger than the sum of its proper divisors (279924908398).

500376561129 is an frugal number, since it uses more digits than its factorization.

500376561129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

It can be divided in two parts, 50037 and 6561129, that added together give a palindrome (6611166).

The spelling of 500376561129 in words is "five hundred billion, three hundred seventy-six million, five hundred sixty-one thousand, one hundred twenty-nine".