61005110506011 has 24 divisors (see below), whose sum is σ = 105085407747840. Its totient is φ = 33344408226096.

The previous prime is 61005110505929. The next prime is 61005110506033. The reversal of 61005110506011 is 11060501150016.

61005110506011 is a `hidden beast` number, since 6 + 1 + 0 + 0 + 5 + 1 + 1 + 0 + 50 + 601 + 1 = 666.

It is not a de Polignac number, because 61005110506011 - 2⁹ = 61005110505499 is a prime.

It is a super-2 number, since 2×61005110506011² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61005110506051) 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, 21050761321 + ... + 21050764218.

It is an arithmetic number, because the mean of its divisors is an integer number (4378558656160).

Almost surely, 2^{61005110506011} is an apocalyptic number.

61005110506011 is a deficient number, since it is larger than the sum of its proper divisors (44080297241829).

61005110506011 is a wasteful number, since it uses less digits than its factorization.

61005110506011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42101525575 (or 42101525572 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 61005110506011 its reverse (11060501150016), we get a palindrome (72065611656027).

The spelling of 61005110506011 in words is "sixty-one trillion, five billion, one hundred ten million, five hundred six thousand, eleven".