1361564601561 has 48 divisors (see below), whose sum is σ = 2121226511040. Its totient is φ = 838756477440.

The previous prime is 1361564601517. The next prime is 1361564601563. The reversal of 1361564601561 is 1651064651631.

1361564601561 is a `hidden beast` number, since 1 + 36 + 1 + 5 + 6 + 4 + 601 + 5 + 6 + 1 = 666.

It is not a de Polignac number, because 1361564601561 - 2⁶ = 1361564601497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1361564601563) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 31689285 + ... + 31732221.

It is an arithmetic number, because the mean of its divisors is an integer number (44192218980).

Almost surely, 2^{1361564601561} is an apocalyptic number.

It is an amenable number.

1361564601561 is a deficient number, since it is larger than the sum of its proper divisors (759661909479).

1361564601561 is a wasteful number, since it uses less digits than its factorization.

1361564601561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47526 (or 47523 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1361564601561 in words is "one trillion, three hundred sixty-one billion, five hundred sixty-four million, six hundred one thousand, five hundred sixty-one".