11253505000545 has 96 divisors (see below), whose sum is σ = 20775188502432. Its totient is φ = 5615575105536.

The previous prime is 11253505000523. The next prime is 11253505000547. The reversal of 11253505000545 is 54500050535211.

11253505000545 is a `hidden beast` number, since 1 + 1 + 2 + 53 + 50 + 500 + 0 + 54 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 624705286689 + 10628799713856 = 790383^2 + 3260184^2 .

It is not a de Polignac number, because 11253505000545 - 2⁶ = 11253505000481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11253505000547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 214501957 + ... + 214554413.

It is an arithmetic number, because the mean of its divisors is an integer number (216408213567).

Almost surely, 2^{11253505000545} is an apocalyptic number.

11253505000545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11253505000545 is a deficient number, since it is larger than the sum of its proper divisors (9521683501887).

11253505000545 is a wasteful number, since it uses less digits than its factorization.

11253505000545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54131 (or 54128 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

Adding to 11253505000545 its reverse (54500050535211), we get a palindrome (65753555535756).

The spelling of 11253505000545 in words is "eleven trillion, two hundred fifty-three billion, five hundred five million, five hundred forty-five", and thus it is an aban number.