63631601 has 24 divisors (see below), whose sum is σ = 73323432. Its totient is φ = 55123200.

The previous prime is 63631573. The next prime is 63631619. The reversal of 63631601 is 10613636.

It can be written as a sum of positive squares in 4 ways, for example, as 1600225 + 62031376 = 1265^2 + 7876^2 .

It is not a de Polignac number, because 63631601 - 2⁶ = 63631537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63631651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272981 + ... + 273213.

It is an arithmetic number, because the mean of its divisors is an integer number (3055143).

Almost surely, 2^63631601 is an apocalyptic number.

63631601 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

63631601 is a deficient number, since it is larger than the sum of its proper divisors (9691831).

63631601 is a wasteful number, since it uses less digits than its factorization.

63631601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 63631601 is about 7976.9418325571. The cubic root of 63631601 is about 399.2310247232.

The spelling of 63631601 in words is "sixty-three million, six hundred thirty-one thousand, six hundred one".