121506529 has 9 divisors (see below), whose sum is σ = 124015059. Its totient is φ = 119048400.

The previous prime is 121506521. The next prime is 121506563. The reversal of 121506529 is 925605121.

The square root of 121506529 is 11023.

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., 68973025 + 52533504 = 8305^2 + 7248^2 .

It is not a de Polignac number, because 121506529 - 2³ = 121506521 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 121506529.

It is not an unprimeable number, because it can be changed into a prime (121506521) 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, 804604 + ... + 804754.

It is an arithmetic number, because the mean of its divisors is an integer number (13779451).

Almost surely, 2^121506529 is an apocalyptic number.

121506529 is the 11023-rd square number.

121506529 is the 5512-nd centered octagonal number.

It is an amenable number.

121506529 is a deficient number, since it is larger than the sum of its proper divisors (2508530).

121506529 is an frugal number, since it uses more digits than its factorization.

121506529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The cubic root of 121506529 is about 495.2979588967.

The spelling of 121506529 in words is "one hundred twenty-one million, five hundred six thousand, five hundred twenty-nine".