211705575111513 has 48 divisors (see below), whose sum is σ = 349892068264960. Its totient is φ = 120832752544128.

The previous prime is 211705575111509. The next prime is 211705575111517. The reversal of 211705575111513 is 315111575507112.

211705575111513 is a `hidden beast` number, since 2 + 1 + 1 + 7 + 0 + 55 + 75 + 1 + 11 + 513 = 666.

It is an interprime number because it is at equal distance from previous prime (211705575111509) and next prime (211705575111517).

It is not a de Polignac number, because 211705575111513 - 2² = 211705575111509 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (211705575111517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3122144856 + ... + 3122212662.

Almost surely, 2^{211705575111513} is an apocalyptic number.

It is an amenable number.

211705575111513 is a deficient number, since it is larger than the sum of its proper divisors (138186493153447).

211705575111513 is a wasteful number, since it uses less digits than its factorization.

211705575111513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125206 (or 125203 counting only the distinct ones).

The product of its (nonzero) digits is 183750, while the sum is 45.

The spelling of 211705575111513 in words is "two hundred eleven trillion, seven hundred five billion, five hundred seventy-five million, one hundred eleven thousand, five hundred thirteen".