1152134312511 has 32 divisors (see below), whose sum is σ = 1941781477888. Its totient is φ = 591294349440.

The previous prime is 1152134312509. The next prime is 1152134312533.

1152134312511 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1152134312511 - 2¹ = 1152134312509 is a prime.

It is a super-2 number, since 2×1152134312511² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152134312911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57020605 + ... + 57040806.

It is an arithmetic number, because the mean of its divisors is an integer number (60680671184).

Almost surely, 2^{1152134312511} is an apocalyptic number.

1152134312511 is a deficient number, since it is larger than the sum of its proper divisors (789647165377).

1152134312511 is a wasteful number, since it uses less digits than its factorization.

1152134312511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114061471.

The product of its digits is 3600, while the sum is 30.

The spelling of 1152134312511 in words is "one trillion, one hundred fifty-two billion, one hundred thirty-four million, three hundred twelve thousand, five hundred eleven".