20513046528 has 600 divisors, whose sum is σ = 69939195480. Its totient is φ = 5945425920.

The previous prime is 20513046527. The next prime is 20513046563. The reversal of 20513046528 is 82564031502.

It can be written as a sum of positive squares in 4 ways, for example, as 107495424 + 20405551104 = 10368^2 + 142848^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20513046492 and 20513046501.

It is not an unprimeable number, because it can be changed into a prime (20513046527) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 500318188 + ... + 500318228.

Almost surely, 2^20513046528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20513046528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34969597740).

20513046528 is an abundant number, since it is smaller than the sum of its proper divisors (49426148952).

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

20513046528 is an equidigital number, since it uses as much as digits as its factorization.

20513046528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 20513046528 in words is "twenty billion, five hundred thirteen million, forty-six thousand, five hundred twenty-eight".