193138275625 has 15 divisors (see below), whose sum is σ = 241359319201. Its totient is φ = 154501831000.

The previous prime is 193138275607. The next prime is 193138275641. The reversal of 193138275625 is 526572831391.

The square root of 193138275625 is 439475.

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

It can be written as a sum of positive squares in 2 ways, for example, as 15142040809 + 177996234816 = 123053^2 + 421896^2 .

It is not a de Polignac number, because 193138275625 - 2⁷ = 193138275497 is a prime.

It is a super-2 number, since 2×193138275625² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10978086 + ... + 10995664.

Almost surely, 2^193138275625 is an apocalyptic number.

193138275625 is the 439475-th square number.

193138275625 is the 219738-th centered octagonal number.

It is an amenable number.

193138275625 is a deficient number, since it is larger than the sum of its proper divisors (48221043576).

193138275625 is an frugal number, since it uses more digits than its factorization.

193138275625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35178 (or 17584 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 52.

The spelling of 193138275625 in words is "one hundred ninety-three billion, one hundred thirty-eight million, two hundred seventy-five thousand, six hundred twenty-five".