61005401361 has 24 divisors (see below), whose sum is σ = 90016617600. Its totient is φ = 39794843616.

The previous prime is 61005401339. The next prime is 61005401371. The reversal of 61005401361 is 16310450016.

61005401361 is a `hidden beast` number, since 6 + 100 + 540 + 13 + 6 + 1 = 666.

It is not a de Polignac number, because 61005401361 - 2²¹ = 61003304209 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (61005401321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1884490 + ... + 1916588.

It is an arithmetic number, because the mean of its divisors is an integer number (3750692400).

Almost surely, 2^61005401361 is an apocalyptic number.

It is an amenable number.

61005401361 is a deficient number, since it is larger than the sum of its proper divisors (29011216239).

61005401361 is a wasteful number, since it uses less digits than its factorization.

61005401361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36645 (or 36642 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 61005401361 its reverse (16310450016), we get a palindrome (77315851377).

The spelling of 61005401361 in words is "sixty-one billion, five million, four hundred one thousand, three hundred sixty-one".