264452034001 has 3 divisors (see below), whose sum is σ = 264452548251. Its totient is φ = 264451519752.

The previous prime is 264452033939. The next prime is 264452034037. The reversal of 264452034001 is 100430254462.

The square root of 264452034001 is 514249.

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., 235660731601 + 28791302400 = 485449^2 + 169680^2 .

It is not a de Polignac number, because 264452034001 - 2¹¹ = 264452031953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264456034001) 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, 257125 + ... + 771373.

It is an arithmetic number, because the mean of its divisors is an integer number (88150849417).

Almost surely, 2^264452034001 is an apocalyptic number.

264452034001 is the 514249-th square number.

264452034001 is the 257125-th centered octagonal number.

It is an amenable number.

264452034001 is a deficient number, since it is larger than the sum of its proper divisors (514250).

264452034001 is an frugal number, since it uses more digits than its factorization.

264452034001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028498 (or 514249 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 264452034001 its reverse (100430254462), we get a palindrome (364882288463).

The spelling of 264452034001 in words is "two hundred sixty-four billion, four hundred fifty-two million, thirty-four thousand, one".