51529 has 3 divisors (see below), whose sum is σ = 51757. Its totient is φ = 51302.

The previous prime is 51521. The next prime is 51539. The reversal of 51529 is 92515.

51529 = T_{226} + T_{227}.

The square root of 51529 is 227.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 92515 = 5 ⋅18503.

It is not a de Polignac number, because 51529 - 2^{3} = 51521 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 114 + ... + 340.

2^{51529} is an apocalyptic number.

51529 is the 227-th square number.

51529 is the 114-th centered octagonal number.

It is an amenable number.

51529 is a deficient number, since it is larger than the sum of its proper divisors (228).

51529 is an frugal number, since it uses more digits than its factorization.

51529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 227 counting only the distinct ones).

The product of its digits is 450, while the sum is 22.

The cubic root of 51529 is about 37.2120764738.

The spelling of 51529 in words is "fifty-one thousand, five hundred twenty-nine".

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