53129521 has 9 divisors (see below), whose sum is σ = 54882849. Its totient is φ = 51431184.

The previous prime is 53129507. The next prime is 53129551. The reversal of 53129521 is 12592135.

The square root of 53129521 is 7289.

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 42107121 + 11022400 = 6489^2 + 3320^2 .

It is not a de Polignac number, because 53129521 - 2⁷ = 53129393 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 53129521.

It is not an unprimeable number, because it can be changed into a prime (53129551) 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, 269595 + ... + 269791.

Almost surely, 2^53129521 is an apocalyptic number.

53129521 is the 7289-th square number.

53129521 is the 3645-th centered octagonal number.

It is an amenable number.

53129521 is a deficient number, since it is larger than the sum of its proper divisors (1753328).

53129521 is an frugal number, since it uses more digits than its factorization.

53129521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 234 counting only the distinct ones).

The product of its digits is 2700, while the sum is 28.

The cubic root of 53129521 is about 375.9343125970.

The spelling of 53129521 in words is "fifty-three million, one hundred twenty-nine thousand, five hundred twenty-one".