53012961 has 15 divisors (see below), whose sum is σ = 79290211. Its totient is φ = 35298288.

The previous prime is 53012951. The next prime is 53012969. The reversal of 53012961 is 16921035.

The square root of 53012961 is 7281.

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

53012961 is a `hidden beast` number, since 530 + 129 + 6 + 1 = 666.

53012961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 46662561 + 6350400 = 6831^2 + 2520^2 .

It is not a de Polignac number, because 53012961 - 2⁷ = 53012833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53012969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 65125 + ... + 65933.

Almost surely, 2^53012961 is an apocalyptic number.

53012961 is the 7281-st square number.

53012961 is the 3641-st centered octagonal number.

It is an amenable number.

53012961 is a deficient number, since it is larger than the sum of its proper divisors (26277250).

53012961 is an frugal number, since it uses more digits than its factorization.

53012961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The cubic root of 53012961 is about 375.6591925615.

Adding to 53012961 its reverse (16921035), we get a palindrome (69933996).

The spelling of 53012961 in words is "fifty-three million, twelve thousand, nine hundred sixty-one".