213480771175 has 24 divisors (see below), whose sum is σ = 306793792512. Its totient is φ = 144325020000.

The previous prime is 213480771169. The next prime is 213480771193. The reversal of 213480771175 is 571177084312.

213480771175 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213480771175 - 2³ = 213480771167 is a prime.

It is a super-2 number, since 2×213480771175² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8578351 + ... + 8603200.

It is an arithmetic number, because the mean of its divisors is an integer number (12783074688).

Almost surely, 2^213480771175 is an apocalyptic number.

213480771175 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

213480771175 is a deficient number, since it is larger than the sum of its proper divisors (93313021337).

213480771175 is a wasteful number, since it uses less digits than its factorization.

213480771175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17181639 (or 17181634 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 46.

The spelling of 213480771175 in words is "two hundred thirteen billion, four hundred eighty million, seven hundred seventy-one thousand, one hundred seventy-five".