205972513 has 8 divisors (see below), whose sum is σ = 210113280. Its totient is φ = 201870240.

The previous prime is 205972489. The next prime is 205972519. The reversal of 205972513 is 315279502.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 205972513 - 2²¹ = 203875361 is a prime.

It is a super-2 number, since 2×205972513² = 84849352223070338, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205972519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1308 + ... + 20338.

It is an arithmetic number, because the mean of its divisors is an integer number (26264160).

Almost surely, 2^205972513 is an apocalyptic number.

It is an amenable number.

205972513 is a deficient number, since it is larger than the sum of its proper divisors (4140767).

205972513 is a wasteful number, since it uses less digits than its factorization.

205972513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19247.

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 205972513 is about 14351.7425074449. The cubic root of 205972513 is about 590.5677891376.

The spelling of 205972513 in words is "two hundred five million, nine hundred seventy-two thousand, five hundred thirteen".