63952013 has 2 divisors, whose sum is σ = 63952014. Its totient is φ = 63952012.

The previous prime is 63951991. The next prime is 63952019. The reversal of 63952013 is 31025936.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63952009 + 4 = 7997^2 + 2^2 .

It is a cyclic number.

It is not a de Polignac number, because 63952013 - 2⁶ = 63951949 is a prime.

It is a super-3 number, since 3×63952013³ (a number of 24 digits) contains 333 as substring.

It is equal to p_3782405 and since 63952013 and 3782405 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (63952019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31976006 + 31976007.

It is an arithmetic number, because the mean of its divisors is an integer number (31976007).

Almost surely, 2^63952013 is an apocalyptic number.

It is an amenable number.

63952013 is a deficient number, since it is larger than the sum of its proper divisors (1).

63952013 is an equidigital number, since it uses as much as digits as its factorization.

63952013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4860, while the sum is 29.

The square root of 63952013 is about 7997.0002500938. Note that the first 3 decimals coincide. The cubic root of 63952013 is about 399.9000020865.

Adding to 63952013 its reverse (31025936), we get a palindrome (94977949).

The spelling of 63952013 in words is "sixty-three million, nine hundred fifty-two thousand, thirteen".