1361326564081 has 27 divisors (see below), whose sum is σ = 1518157519137. Its totient is φ = 1219776528960.

The previous prime is 1361326564069. The next prime is 1361326564187. The reversal of 1361326564081 is 1804656231631.

The square root of 1361326564081 is 1166759.

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 559191379681 + 802135184400 = 747791^2 + 895620^2 .

It is not a de Polignac number, because 1361326564081 - 2⁵ = 1361326564049 is a prime.

It is a super-2 number, since 2×1361326564081² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1361326364081) 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 26 ways as a sum of consecutive naturals, for example, 936906751 + ... + 936908203.

Almost surely, 2^{1361326564081} is an apocalyptic number.

1361326564081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1361326564081 is the 1166759-th square number.

1361326564081 is the 583380-th centered octagonal number.

It is an amenable number.

1361326564081 is a deficient number, since it is larger than the sum of its proper divisors (156830955056).

1361326564081 is an frugal number, since it uses more digits than its factorization.

1361326564081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 1361326564081 in words is "one trillion, three hundred sixty-one billion, three hundred twenty-six million, five hundred sixty-four thousand, eighty-one".