2113623506511 has 128 divisors (see below), whose sum is σ = 3515073408000. Its totient is φ = 1244381184000.

The previous prime is 2113623506509. The next prime is 2113623506521. The reversal of 2113623506511 is 1156053263112.

2113623506511 is a `hidden beast` number, since 2 + 1 + 13 + 623 + 5 + 0 + 6 + 5 + 11 = 666.

It is not a de Polignac number, because 2113623506511 - 2¹ = 2113623506509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113623506521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1360993111 + ... + 1360994663.

It is an arithmetic number, because the mean of its divisors is an integer number (27461511000).

Almost surely, 2^{2113623506511} is an apocalyptic number.

2113623506511 is a deficient number, since it is larger than the sum of its proper divisors (1401449901489).

2113623506511 is a wasteful number, since it uses less digits than its factorization.

2113623506511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 2113623506511 its reverse (1156053263112), we get a palindrome (3269676769623).

The spelling of 2113623506511 in words is "two trillion, one hundred thirteen billion, six hundred twenty-three million, five hundred six thousand, five hundred eleven".