205323102520 has 128 divisors (see below), whose sum is σ = 521952724800. Its totient is φ = 72226308096.

The previous prime is 205323102511. The next prime is 205323102529. The reversal of 205323102520 is 25201323502.

It is an interprime number because it is at equal distance from previous prime (205323102511) and next prime (205323102529).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205323102529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 834312 + ... + 1052008.

Almost surely, 2^205323102520 is an apocalyptic number.

205323102520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205323102520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260976362400).

205323102520 is an abundant number, since it is smaller than the sum of its proper divisors (316629622280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205323102520 is a wasteful number, since it uses less digits than its factorization.

205323102520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217817 (or 217813 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The spelling of 205323102520 in words is "two hundred five billion, three hundred twenty-three million, one hundred two thousand, five hundred twenty".