61106005575 has 72 divisors (see below), whose sum is σ = 110357520000. Its totient is φ = 32319881280.

The previous prime is 61106005559. The next prime is 61106005591. The reversal of 61106005575 is 57550060116.

It is an interprime number because it is at equal distance from previous prime (61106005559) and next prime (61106005591).

It is not a de Polignac number, because 61106005575 - 2⁴ = 61106005559 is a prime.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 18748296 + ... + 18751554.

Almost surely, 2^61106005575 is an apocalyptic number.

61106005575 is a deficient number, since it is larger than the sum of its proper divisors (49251514425).

61106005575 is a wasteful number, since it uses less digits than its factorization.

61106005575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 61106005575 in words is "sixty-one billion, one hundred six million, five thousand, five hundred seventy-five".