181051101001 has 3 divisors (see below), whose sum is σ = 181051526503. Its totient is φ = 181050675500.

The previous prime is 181051100957. The next prime is 181051101017. The reversal of 181051101001 is 100101150181.

The square root of 181051101001 is 425501.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 45347276601 + 135703824400 = 212949^2 + 368380^2 .

It is not a de Polignac number, because 181051101001 - 2¹³ = 181051092809 is a prime.

It is a super-3 number, since 3×181051101001³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 181051101001.

It is not an unprimeable number, because it can be changed into a prime (181051107001) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 212751 + ... + 638251.

Almost surely, 2^181051101001 is an apocalyptic number.

181051101001 is the 425501-st square number.

181051101001 is the 212751-st centered octagonal number.

It is an amenable number.

181051101001 is a deficient number, since it is larger than the sum of its proper divisors (425502).

181051101001 is an frugal number, since it uses more digits than its factorization.

181051101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851002 (or 425501 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 19.

Adding to 181051101001 its reverse (100101150181), we get a palindrome (281152251182).

The spelling of 181051101001 in words is "one hundred eighty-one billion, fifty-one million, one hundred one thousand, one".