193234972225 has 9 divisors (see below), whose sum is σ = 239614091017. Its totient is φ = 154586219440.

The previous prime is 193234972171. The next prime is 193234972279. The reversal of 193234972225 is 522279432391.

The square root of 193234972225 is 439585.

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

It is an interprime number because it is at equal distance from previous prime (193234972171) and next prime (193234972279).

It can be written as a sum of positive squares in 4 ways, for example, as 13919988289 + 179314983936 = 117983^2 + 423456^2 .

It is not a de Polignac number, because 193234972225 - 2¹¹ = 193234970177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2153967 + ... + 2241883.

Almost surely, 2^193234972225 is an apocalyptic number.

193234972225 is the 439585-th square number.

193234972225 is the 219793-rd centered octagonal number.

It is an amenable number.

193234972225 is a deficient number, since it is larger than the sum of its proper divisors (46379118792).

193234972225 is an frugal number, since it uses more digits than its factorization.

193234972225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175844 (or 87922 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 49.

Multiplying 193234972225 by its sum of digits (49), we get a square (9468513639025 = 3077095²).

The spelling of 193234972225 in words is "one hundred ninety-three billion, two hundred thirty-four million, nine hundred seventy-two thousand, two hundred twenty-five".