61101006000601 has 32 divisors (see below), whose sum is σ = 73274129123328. Its totient is φ = 49814914343040.

The previous prime is 61101006000581. The next prime is 61101006000613. The reversal of 61101006000601 is 10600060010116.

61101006000601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61101006000601 - 2¹¹ = 61101005998553 is a prime.

It is a super-2 number, since 2×61101006000601² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61101006000631) 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 31 ways as a sum of consecutive naturals, for example, 38735005 + ... + 40281541.

It is an arithmetic number, because the mean of its divisors is an integer number (2289816535104).

Almost surely, 2^{61101006000601} is an apocalyptic number.

It is an amenable number.

61101006000601 is a deficient number, since it is larger than the sum of its proper divisors (12173123122727).

61101006000601 is a wasteful number, since it uses less digits than its factorization.

61101006000601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547941.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 61101006000601 its reverse (10600060010116), we get a palindrome (71701066010717).

The spelling of 61101006000601 in words is "sixty-one trillion, one hundred one billion, six million, six hundred one", and thus it is an aban number.