13783881402225 has 81 divisors (see below), whose sum is σ = 27138111843297. Its totient is φ = 6682797000000.

The previous prime is 13783881402197. The next prime is 13783881402227. The reversal of 13783881402225 is 52220418838731.

The square root of 13783881402225 is 3712665.

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

13783881402225 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 3 + 8 + 8 + 1 + 402 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4786473215601 + 8997408186624 = 2187801^2 + 2999568^2 .

It is not a de Polignac number, because 13783881402225 - 2¹³ = 13783881394033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13783881402227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 612578475 + ... + 612600975.

Almost surely, 2^{13783881402225} is an apocalyptic number.

13783881402225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13783881402225 is the 3712665-th square number.

13783881402225 is the 1856333-rd centered octagonal number.

It is an amenable number.

13783881402225 is a deficient number, since it is larger than the sum of its proper divisors (13354230441072).

13783881402225 is an frugal number, since it uses more digits than its factorization.

13783881402225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45040 (or 22520 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 13783881402225 in words is "thirteen trillion, seven hundred eighty-three billion, eight hundred eighty-one million, four hundred two thousand, two hundred twenty-five".