19993552102225 has 27 divisors (see below), whose sum is σ = 26846170393329. Its totient is φ = 14764254616800.

The previous prime is 19993552102217. The next prime is 19993552102243. The reversal of 19993552102225 is 52220125539991.

The square root of 19993552102225 is 4471415.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5153367630609 + 14840184471616 = 2270103^2 + 3852296^2 .

It is not a de Polignac number, because 19993552102225 - 2³ = 19993552102217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 290607580 + ... + 290676370.

Almost surely, 2^{19993552102225} is an apocalyptic number.

19993552102225 is the 4471415-th square number.

19993552102225 is the 2235708-th centered octagonal number.

It is an amenable number.

19993552102225 is a deficient number, since it is larger than the sum of its proper divisors (6852618291104).

19993552102225 is an frugal number, since it uses more digits than its factorization.

19993552102225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137618 (or 68809 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 55.

The spelling of 19993552102225 in words is "nineteen trillion, nine hundred ninety-three billion, five hundred fifty-two million, one hundred two thousand, two hundred twenty-five".