90052015011133 has 12 divisors (see below), whose sum is σ = 104754838159452. Its totient is φ = 77187107390400.

The previous prime is 90052015011059. The next prime is 90052015011137. The reversal of 90052015011133 is 33111051025009.

It can be written as a sum of positive squares in 2 ways, for example, as 12543483055684 + 77508531955449 = 3541678^2 + 8803893^2 .

It is a de Polignac number, because none of the positive numbers 2^k-90052015011133 is a prime.

It is a super-2 number, since 2×90052015011133² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 90052015011095 and 90052015011104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90052015011137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7814191 + ... + 15529507.

It is an arithmetic number, because the mean of its divisors is an integer number (8729569846621).

Almost surely, 2^{90052015011133} is an apocalyptic number.

It is an amenable number.

90052015011133 is a deficient number, since it is larger than the sum of its proper divisors (14702823148319).

90052015011133 is a wasteful number, since it uses less digits than its factorization.

90052015011133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7953532 (or 7953525 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 31.

The spelling of 90052015011133 in words is "ninety trillion, fifty-two billion, fifteen million, eleven thousand, one hundred thirty-three".