501066332709121 has 27 divisors (see below), whose sum is σ = 519490024854633. Its totient is φ = 483279801729120.

The previous prime is 501066332709113. The next prime is 501066332709149. The reversal of 501066332709121 is 121907233660105.

The square root of 501066332709121 is 22384511.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9064248254721 + 492002084454400 = 3010689^2 + 22181120^2 .

It is not a de Polignac number, because 501066332709121 - 2³ = 501066332709113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (501066332709101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 242178023475 + ... + 242178025543.

Almost surely, 2^{501066332709121} is an apocalyptic number.

501066332709121 is the 22384511-st square number.

501066332709121 is the 11192256-th centered octagonal number.

It is an amenable number.

501066332709121 is a deficient number, since it is larger than the sum of its proper divisors (18423692145512).

501066332709121 is an frugal number, since it uses more digits than its factorization.

501066332709121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4898 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 501066332709121 in words is "five hundred one trillion, sixty-six billion, three hundred thirty-two million, seven hundred nine thousand, one hundred twenty-one".