61006105512 has 96 divisors (see below), whose sum is σ = 180604831680. Its totient is φ = 18449825280.

The previous prime is 61006105493. The next prime is 61006105541. The reversal of 61006105512 is 21550160016.

It is a happy number.

61006105512 is a `hidden beast` number, since 6 + 100 + 6 + 1 + 0 + 551 + 2 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 321808 + ... + 474944.

It is an arithmetic number, because the mean of its divisors is an integer number (1881300330).

Almost surely, 2^61006105512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61006105512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90302415840).

61006105512 is an abundant number, since it is smaller than the sum of its proper divisors (119598726168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61006105512 is a wasteful number, since it uses less digits than its factorization.

61006105512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153663 (or 153656 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 61006105512 its reverse (21550160016), we get a palindrome (82556265528).

The spelling of 61006105512 in words is "sixty-one billion, six million, one hundred five thousand, five hundred twelve".