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52506137 is a prime number
BaseRepresentation
bin1100100001001…
…0111000011001
310122210120212202
43020102320121
5101420144022
65113215545
71205203055
oct310227031
9118716782
1052506137
1127702702
12157015b5
13ab55028
146d8ac65
154922592
hex3212e19

52506137 has 2 divisors, whose sum is σ = 52506138. Its totient is φ = 52506136.

The previous prime is 52506131. The next prime is 52506143. The reversal of 52506137 is 73160525.

It is a balanced prime because it is at equal distance from previous prime (52506131) and next prime (52506143).

It can be written as a sum of positive squares in only one way, i.e., 28847641 + 23658496 = 5371^2 + 4864^2 .

It is a cyclic number.

It is not a de Polignac number, because 52506137 - 212 = 52502041 is a prime.

It is not a weakly prime, because it can be changed into another prime (52506131) 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 as a sum of consecutive naturals, namely, 26253068 + 26253069.

It is an arithmetic number, because the mean of its divisors is an integer number (26253069).

Almost surely, 252506137 is an apocalyptic number.

It is an amenable number.

52506137 is a deficient number, since it is larger than the sum of its proper divisors (1).

52506137 is an equidigital number, since it uses as much as digits as its factorization.

52506137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 52506137 is about 7246.1118539531. Note that the first 3 decimals coincide. The cubic root of 52506137 is about 374.4582090178.

The spelling of 52506137 in words is "fifty-two million, five hundred six thousand, one hundred thirty-seven".