193825453138641 has 27 divisors (see below), whose sum is σ = 282199668950043. Its totient is φ = 128196003937680.

The previous prime is 193825453138589. The next prime is 193825453138651. The reversal of 193825453138641 is 146831354528391.

The square root of 193825453138641 is 13922121.

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

193825453138641 is a `hidden beast` number, since 1 + 9 + 3 + 8 + 2 + 5 + 4 + 531 + 38 + 64 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 184581542594241 + 9243910544400 = 13586079^2 + 3040380^2 .

It is not a de Polignac number, because 193825453138641 - 2⁴¹ = 191626429883089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (193825453138651) 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, 5304309831 + ... + 5304346371.

Almost surely, 2^{193825453138641} is an apocalyptic number.

193825453138641 is the 13922121-st square number.

193825453138641 is the 6961061-st centered octagonal number.

It is an amenable number.

193825453138641 is a deficient number, since it is larger than the sum of its proper divisors (88374215811402).

193825453138641 is an frugal number, since it uses more digits than its factorization.

193825453138641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73342 (or 36671 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 193825453138641 in words is "one hundred ninety-three trillion, eight hundred twenty-five billion, four hundred fifty-three million, one hundred thirty-eight thousand, six hundred forty-one".