53012561 has 24 divisors (see below), whose sum is σ = 63714600. Its totient is φ = 43959552.

The previous prime is 53012521. The next prime is 53012567. The reversal of 53012561 is 16521035.

It can be written as a sum of positive squares in 4 ways, for example, as 5664400 + 47348161 = 2380^2 + 6881^2 .

It is not a de Polignac number, because 53012561 - 2¹⁸ = 52750417 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53012567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355715 + ... + 355863.

It is an arithmetic number, because the mean of its divisors is an integer number (2654775).

Almost surely, 2^53012561 is an apocalyptic number.

It is an amenable number.

53012561 is a deficient number, since it is larger than the sum of its proper divisors (10702039).

53012561 is a wasteful number, since it uses less digits than its factorization.

53012561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 53012561 is about 7280.9725311939. The cubic root of 53012561 is about 375.6582477356.

Adding to 53012561 its reverse (16521035), we get a palindrome (69533596).

The spelling of 53012561 in words is "fifty-three million, twelve thousand, five hundred sixty-one".