11006521551053 has 48 divisors (see below), whose sum is σ = 12938560634880. Its totient is φ = 9335258402400.

The previous prime is 11006521551041. The next prime is 11006521551101. The reversal of 11006521551053 is 35015512560011.

It is not a de Polignac number, because 11006521551053 - 2¹² = 11006521546957 is a prime.

It is a super-2 number, since 2×11006521551053² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006521511053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2601397448 + ... + 2601401678.

It is an arithmetic number, because the mean of its divisors is an integer number (269553346560).

Almost surely, 2^{11006521551053} is an apocalyptic number.

It is an amenable number.

11006521551053 is a deficient number, since it is larger than the sum of its proper divisors (1932039083827).

11006521551053 is a wasteful number, since it uses less digits than its factorization.

11006521551053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5838 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 35.

The spelling of 11006521551053 in words is "eleven trillion, six billion, five hundred twenty-one million, five hundred fifty-one thousand, fifty-three".