205313523 has 8 divisors (see below), whose sum is σ = 274003968. Its totient is φ = 136749384.

The previous prime is 205313497. The next prime is 205313551. The reversal of 205313523 is 325313502.

It is a happy number.

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

It is not a de Polignac number, because 205313523 - 2⁵ = 205313491 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205313493 and 205313502.

It is not an unprimeable number, because it can be changed into a prime (205313023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27715 + ... + 34332.

It is an arithmetic number, because the mean of its divisors is an integer number (34250496).

Almost surely, 2^205313523 is an apocalyptic number.

205313523 is a deficient number, since it is larger than the sum of its proper divisors (68690445).

205313523 is a wasteful number, since it uses less digits than its factorization.

205313523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63153.

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 205313523 is about 14328.7655783742. The cubic root of 205313523 is about 589.9372939199.

It can be divided in two parts, 2053 and 13523, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 205313523 in words is "two hundred five million, three hundred thirteen thousand, five hundred twenty-three".