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52581349 is a prime number
BaseRepresentation
bin1100100010010…
…1001111100101
310122221102001101
43020211033211
5101430100344
65115000101
71205635252
oct310451745
9118842041
1052581349
1127754167
1215739031
13ab80332
146daa429
1549399d4
hex32253e5

52581349 has 2 divisors, whose sum is σ = 52581350. Its totient is φ = 52581348.

The previous prime is 52581313. The next prime is 52581359. The reversal of 52581349 is 94318525.

52581349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41190724 + 11390625 = 6418^2 + 3375^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-52581349 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (52581359) 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, 26290674 + 26290675.

It is an arithmetic number, because the mean of its divisors is an integer number (26290675).

Almost surely, 252581349 is an apocalyptic number.

It is an amenable number.

52581349 is a deficient number, since it is larger than the sum of its proper divisors (1).

52581349 is an equidigital number, since it uses as much as digits as its factorization.

52581349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 43200, while the sum is 37.

The square root of 52581349 is about 7251.2998145160. The cubic root of 52581349 is about 374.6369202788.

The spelling of 52581349 in words is "fifty-two million, five hundred eighty-one thousand, three hundred forty-nine".