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52753933 is a prime number
BaseRepresentation
bin1100100100111…
…1011000001101
310200021011210101
43021033120031
5102001111213
65122411101
71210254361
oct311173015
9120234711
1052753933
11278618a1
1215800a91
13ac10a5b
1470132a1
154970bdd
hex324f60d

52753933 has 2 divisors, whose sum is σ = 52753934. Its totient is φ = 52753932.

The previous prime is 52753931. The next prime is 52753951. The reversal of 52753933 is 33935725.

52753933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28281124 + 24472809 = 5318^2 + 4947^2 .

It is a cyclic number.

It is not a de Polignac number, because 52753933 - 21 = 52753931 is a prime.

It is a super-3 number, since 3×527539333 (a number of 24 digits) contains 333 as substring.

Together with 52753931, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 52753892 and 52753901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (52753931) 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 as a sum of consecutive naturals, namely, 26376966 + 26376967.

It is an arithmetic number, because the mean of its divisors is an integer number (26376967).

Almost surely, 252753933 is an apocalyptic number.

It is an amenable number.

52753933 is a deficient number, since it is larger than the sum of its proper divisors (1).

52753933 is an equidigital number, since it uses as much as digits as its factorization.

52753933 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 85050, while the sum is 37.

The square root of 52753933 is about 7263.1902770064. The cubic root of 52753933 is about 375.0463539736.

The spelling of 52753933 in words is "fifty-two million, seven hundred fifty-three thousand, nine hundred thirty-three".