63821165104225 has 9 divisors (see below), whose sum is σ = 79138294259923. Its totient is φ = 51056900128120.

The previous prime is 63821165104199. The next prime is 63821165104273. The reversal of 63821165104225 is 52240156112836.

It is a happy number.

The square root of 63821165104225 is 7988815.

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

It can be written as a sum of positive squares in only one way, i.e., 22975619437521 + 40845545666704 = 4793289^2 + 6391052^2 .

It is not a de Polignac number, because 63821165104225 - 2⁷ = 63821165104097 is a prime.

It is a super-2 number, since 2×63821165104225² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39145194 + ... + 40742956.

Almost surely, 2^{63821165104225} is an apocalyptic number.

63821165104225 is the 7988815-th square number.

63821165104225 is the 3994408-th centered octagonal number.

It is an amenable number.

63821165104225 is a deficient number, since it is larger than the sum of its proper divisors (15317129155698).

63821165104225 is an frugal number, since it uses more digits than its factorization.

63821165104225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3195536 (or 1597768 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The spelling of 63821165104225 in words is "sixty-three trillion, eight hundred twenty-one billion, one hundred sixty-five million, one hundred four thousand, two hundred twenty-five".