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53131937 is a prime number
BaseRepresentation
bin1100101010101…
…1101010100001
310200222101022112
43022223222201
5102100210222
65134445105
71213420415
oct312535241
9120871275
1053131937
1127a9a8a1
1215963795
13b013b21
1470b0d45
1549e7be2
hex32abaa1

53131937 has 2 divisors, whose sum is σ = 53131938. Its totient is φ = 53131936.

The previous prime is 53131921. The next prime is 53131957. The reversal of 53131937 is 73913135.

53131937 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., 51897616 + 1234321 = 7204^2 + 1111^2 .

It is a cyclic number.

It is not a de Polignac number, because 53131937 - 24 = 53131921 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (53131957) 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, 26565968 + 26565969.

It is an arithmetic number, because the mean of its divisors is an integer number (26565969).

Almost surely, 253131937 is an apocalyptic number.

It is an amenable number.

53131937 is a deficient number, since it is larger than the sum of its proper divisors (1).

53131937 is an equidigital number, since it uses as much as digits as its factorization.

53131937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8505, while the sum is 32.

The square root of 53131937 is about 7289.1657272969. The cubic root of 53131937 is about 375.9400108950.

The spelling of 53131937 in words is "fifty-three million, one hundred thirty-one thousand, nine hundred thirty-seven".