205142953 has 8 divisors (see below), whose sum is σ = 207721800. Its totient is φ = 202570368.

The previous prime is 205142947. The next prime is 205142963. The reversal of 205142953 is 359241502.

It can be written as a sum of positive squares in 4 ways, for example, as 166464 + 204976489 = 408^2 + 14317^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205142953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205142933) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126375 + ... + 127987.

It is an arithmetic number, because the mean of its divisors is an integer number (25965225).

Almost surely, 2^205142953 is an apocalyptic number.

It is an amenable number.

205142953 is a deficient number, since it is larger than the sum of its proper divisors (2578847).

205142953 is a wasteful number, since it uses less digits than its factorization.

205142953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131.

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 205142953 is about 14322.8123285897. The cubic root of 205142953 is about 589.7738796426.

The spelling of 205142953 in words is "two hundred five million, one hundred forty-two thousand, nine hundred fifty-three".