34095253201 has 3 divisors (see below), whose sum is σ = 34095437851. Its totient is φ = 34095068552.

The previous prime is 34095253183. The next prime is 34095253207. The reversal of 34095253201 is 10235259043.

The square root of 34095253201 is 184649.

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., 18319893201 + 15775360000 = 135351^2 + 125600^2 .

It is a de Polignac number, because none of the positive numbers 2^k-34095253201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34095253207) 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, 92325 + ... + 276973.

Almost surely, 2^34095253201 is an apocalyptic number.

34095253201 is the 184649-th square number.

34095253201 is the 92325-th centered octagonal number.

It is an amenable number.

34095253201 is a deficient number, since it is larger than the sum of its proper divisors (184650).

34095253201 is an frugal number, since it uses more digits than its factorization.

34095253201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369298 (or 184649 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

It can be divided in two parts, 34095 and 253201, that added together give a square (287296 = 536²).

The spelling of 34095253201 in words is "thirty-four billion, ninety-five million, two hundred fifty-three thousand, two hundred one".