63952009 has 9 divisors (see below), whose sum is σ = 70391181. Its totient is φ = 58058220.

The previous prime is 63951991. The next prime is 63952013. The reversal of 63952009 is 90025936.

It is a happy number.

The square root of 63952009 is 7997.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 63952009 - 2⁹ = 63951497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63952019) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 87604 + ... + 88330.

Almost surely, 2^63952009 is an apocalyptic number.

63952009 is the 7997-th square number.

63952009 is the 3999-th centered octagonal number.

It is an amenable number.

63952009 is a deficient number, since it is larger than the sum of its proper divisors (6439172).

63952009 is an frugal number, since it uses more digits than its factorization.

63952009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 34.

The cubic root of 63952009 is about 399.8999937490.

The spelling of 63952009 in words is "sixty-three million, nine hundred fifty-two thousand, nine".