52966953 has 48 divisors (see below), whose sum is σ = 89281920. Its totient is φ = 31177872.

The previous prime is 52966939. The next prime is 52966961. The reversal of 52966953 is 35966925.

It is not a de Polignac number, because 52966953 - 2⁴ = 52966937 is a prime.

It is a super-2 number, since 2×52966953² = 5610996220208418, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 52966899 and 52966908.

It is not an unprimeable number, because it can be changed into a prime (52966913) 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 47 ways as a sum of consecutive naturals, for example, 2302900 + ... + 2302922.

It is an arithmetic number, because the mean of its divisors is an integer number (1860040).

Almost surely, 2^52966953 is an apocalyptic number.

It is an amenable number.

52966953 is a deficient number, since it is larger than the sum of its proper divisors (36314967).

52966953 is an frugal number, since it uses more digits than its factorization.

52966953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 39 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The square root of 52966953 is about 7277.8398580898. The cubic root of 52966953 is about 375.5504875073.

The spelling of 52966953 in words is "fifty-two million, nine hundred sixty-six thousand, nine hundred fifty-three".