504115620121 has 9 divisors (see below), whose sum is σ = 532058701311. Its totient is φ = 477570438864.

The previous prime is 504115620049. The next prime is 504115620131. The reversal of 504115620121 is 121026511405.

The square root of 504115620121 is 710011.

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., 400766229721 + 103349390400 = 633061^2 + 321480^2 .

It is not a de Polignac number, because 504115620121 - 2⁷ = 504115619993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 504115620121.

It is not an unprimeable number, because it can be changed into a prime (504115620131) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13471525 + ... + 13508893.

It is an arithmetic number, because the mean of its divisors is an integer number (59117633479).

Almost surely, 2^504115620121 is an apocalyptic number.

504115620121 is the 710011-st square number.

504115620121 is the 355006-th centered octagonal number.

It is an amenable number.

504115620121 is a deficient number, since it is larger than the sum of its proper divisors (27943081190).

504115620121 is an frugal number, since it uses more digits than its factorization.

504115620121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74776 (or 37388 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The spelling of 504115620121 in words is "five hundred four billion, one hundred fifteen million, six hundred twenty thousand, one hundred twenty-one".