1361202567165 has 528 divisors, whose sum is σ = 3101183065728. Its totient is φ = 561247045632.

The previous prime is 1361202567149. The next prime is 1361202567169. The reversal of 1361202567165 is 5617652021631.

1361202567165 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 20 + 2 + 567 + 1 + 65 = 666.

It is not a de Polignac number, because 1361202567165 - 2⁴ = 1361202567149 is a prime.

It is a super-2 number, since 2×1361202567165² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1361202567165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361202567169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 527 ways as a sum of consecutive naturals, for example, 25683067279 + ... + 25683067331.

It is an arithmetic number, because the mean of its divisors is an integer number (5873452776).

Almost surely, 2^{1361202567165} is an apocalyptic number.

1361202567165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1361202567165 is an abundant number, since it is smaller than the sum of its proper divisors (1739980498563).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1361202567165 is an frugal number, since it uses more digits than its factorization.

1361202567165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

Adding to 1361202567165 its reverse (5617652021631), we get a palindrome (6978854588796).

The spelling of 1361202567165 in words is "one trillion, three hundred sixty-one billion, two hundred two million, five hundred sixty-seven thousand, one hundred sixty-five".