205250523 has 16 divisors (see below), whose sum is σ = 279482016. Its totient is φ = 133954560.

The previous prime is 205250519. The next prime is 205250527. The reversal of 205250523 is 325052502.

It is an interprime number because it is at equal distance from previous prime (205250519) and next prime (205250527).

It is not a de Polignac number, because 205250523 - 2² = 205250519 is a prime.

It is a super-4 number, since 4×205250523⁴ (a number of 34 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205250493 and 205250502.

It is not an unprimeable number, because it can be changed into a prime (205250527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26583 + ... + 33423.

It is an arithmetic number, because the mean of its divisors is an integer number (17467626).

Almost surely, 2^205250523 is an apocalyptic number.

205250523 is a deficient number, since it is larger than the sum of its proper divisors (74231493).

205250523 is a wasteful number, since it uses less digits than its factorization.

205250523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7054.

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 205250523 is about 14326.5670347086. The cubic root of 205250523 is about 589.8769474295.

The spelling of 205250523 in words is "two hundred five million, two hundred fifty thousand, five hundred twenty-three".