11553213317511 has 64 divisors (see below), whose sum is σ = 17167770740736. Its totient is φ = 6879120998400.

The previous prime is 11553213317479. The next prime is 11553213317539. The reversal of 11553213317511 is 11571331235511.

It is not a de Polignac number, because 11553213317511 - 2⁵ = 11553213317479 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11553213317511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11553213317111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21402450 + ... + 21935616.

It is an arithmetic number, because the mean of its divisors is an integer number (268246417824).

Almost surely, 2^{11553213317511} is an apocalyptic number.

11553213317511 is a deficient number, since it is larger than the sum of its proper divisors (5614557423225).

11553213317511 is a wasteful number, since it uses less digits than its factorization.

11553213317511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533512.

The product of its digits is 47250, while the sum is 39.

The spelling of 11553213317511 in words is "eleven trillion, five hundred fifty-three billion, two hundred thirteen million, three hundred seventeen thousand, five hundred eleven".