1361605410225 has 36 divisors (see below), whose sum is σ = 2454320315356. Its totient is φ = 721564122240.

The previous prime is 1361605410197. The next prime is 1361605410241. The reversal of 1361605410225 is 5220145061631.

1361605410225 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 605 + 41 + 0 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7351862049 + 1354253548176 = 85743^2 + 1163724^2 .

It is not a de Polignac number, because 1361605410225 - 2¹⁰ = 1361605409201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1361605410225.

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 35 ways as a sum of consecutive naturals, for example, 19237222 + ... + 19307871.

Almost surely, 2^{1361605410225} is an apocalyptic number.

1361605410225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1361605410225 is a deficient number, since it is larger than the sum of its proper divisors (1092714905131).

1361605410225 is a wasteful number, since it uses less digits than its factorization.

1361605410225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38545266 (or 38545258 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1361605410225 in words is "one trillion, three hundred sixty-one billion, six hundred five million, four hundred ten thousand, two hundred twenty-five".