11512513620153 has 64 divisors (see below), whose sum is σ = 20993029048320. Its totient is φ = 6072085912896.

The previous prime is 11512513620107. The next prime is 11512513620173. The reversal of 11512513620153 is 35102631521511.

11512513620153 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 2 + 5 + 13 + 620 + 15 + 3 = 666.

It is not a de Polignac number, because 11512513620153 - 2⁶ = 11512513620089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11512513620173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34494826 + ... + 34826972.

It is an arithmetic number, because the mean of its divisors is an integer number (328016078880).

Almost surely, 2^{11512513620153} is an apocalyptic number.

11512513620153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11512513620153 is a deficient number, since it is larger than the sum of its proper divisors (9480515428167).

11512513620153 is a wasteful number, since it uses less digits than its factorization.

11512513620153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346283 (or 346277 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 11512513620153 in words is "eleven trillion, five hundred twelve billion, five hundred thirteen million, six hundred twenty thousand, one hundred fifty-three".