63527 has 2 divisors, whose sum is σ = 63528. Its totient is φ = 63526.

The previous prime is 63521. The next prime is 63533. The reversal of 63527 is 72536.

Subtracting from 63527 its sum of digits (23), we obtain a square (63504 = 252^{2}).

Subtracting 63527 from its reverse (72536), we obtain a palindrome (9009).

It is a balanced prime because it is at equal distance from previous prime (63521) and next prime (63533).

It is a cyclic number.

It is not a de Polignac number, because 63527 - 2^{6} = 63463 is a prime.

It is a d-powerful number, because it can be written as **6**^{4} + **3**^{10} + **5**^{5} + **2**^{3} + **7**^{2} .

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (63521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31763 + 31764.

It is an arithmetic number, because the mean of its divisors is an integer number (31764).

2^{63527} is an apocalyptic number.

63527 is a deficient number, since it is larger than the sum of its proper divisors (1).

63527 is an equidigital number, since it uses as much as digits as its factorization.

63527 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1260, while the sum is 23.

The square root of 63527 is about 252.0456307893. The cubic root of 63527 is about 39.9012145701.

The spelling of 63527 in words is "sixty-three thousand, five hundred twenty-seven".

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