193875537969 has 27 divisors (see below), whose sum is σ = 281536713003. Its totient is φ = 128564350992.

The previous prime is 193875537931. The next prime is 193875537971. The reversal of 193875537969 is 969735578391.

The square root of 193875537969 is 440313.

It is a perfect power (a square), and thus also a powerful number.

193875537969 is a `hidden beast` number, since 1 + 9 + 3 + 8 + 7 + 553 + 7 + 9 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10852430625 + 183023107344 = 104175^2 + 427812^2 .

It is a de Polignac number, because none of the positive numbers 2^k-193875537969 is a prime.

It is a super-2 number, since 2×193875537969² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 193875537897 and 193875537906.

It is not an unprimeable number, because it can be changed into a prime (193875537979) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 418737432 + ... + 418737894.

Almost surely, 2^193875537969 is an apocalyptic number.

193875537969 is the 440313-rd square number.

193875537969 is the 220157-th centered octagonal number.

It is an amenable number.

193875537969 is a deficient number, since it is larger than the sum of its proper divisors (87661175034).

193875537969 is an frugal number, since it uses more digits than its factorization.

193875537969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 783 counting only the distinct ones).

The product of its digits is 385786800, while the sum is 72.

The spelling of 193875537969 in words is "one hundred ninety-three billion, eight hundred seventy-five million, five hundred thirty-seven thousand, nine hundred sixty-nine".