205742592613 has 8 divisors (see below), whose sum is σ = 207705994200. Its totient is φ = 203785881600.

The previous prime is 205742592569. The next prime is 205742592617. The reversal of 205742592613 is 316295247502.

It can be written as a sum of positive squares in 4 ways, for example, as 46111979169 + 159630613444 = 214737^2 + 399538^2 .

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 205742592613 - 2¹⁷ = 205742461541 is a prime.

It is a super-3 number, since 3×205742592613³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205742592617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1610838 + ... + 1733863.

It is an arithmetic number, because the mean of its divisors is an integer number (25963249275).

Almost surely, 2^205742592613 is an apocalyptic number.

It is an amenable number.

205742592613 is a deficient number, since it is larger than the sum of its proper divisors (1963401587).

205742592613 is a wasteful number, since it uses less digits than its factorization.

205742592613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345287.

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 205742592613 in words is "two hundred five billion, seven hundred forty-two million, five hundred ninety-two thousand, six hundred thirteen".