11006061561 has 24 divisors (see below), whose sum is σ = 17467675680. Its totient is φ = 6622344000.

The previous prime is 11006061559. The next prime is 11006061587. The reversal of 11006061561 is 16516060011.

11006061561 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 606 + 1 + 56 + 1 = 666.

It is not a de Polignac number, because 11006061561 - 2¹ = 11006061559 is a prime.

It is a super-2 number, since 2×11006061561² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11006065561) 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, 386140 + ... + 413661.

It is an arithmetic number, because the mean of its divisors is an integer number (727819820).

Almost surely, 2^11006061561 is an apocalyptic number.

11006061561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11006061561 is a deficient number, since it is larger than the sum of its proper divisors (6461614119).

11006061561 is a wasteful number, since it uses less digits than its factorization.

11006061561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799957 (or 799954 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 11006061561 in words is "eleven billion, six million, sixty-one thousand, five hundred sixty-one".