53285820 has 144 divisors (see below), whose sum is σ = 181547520. Its totient is φ = 11437056.

The previous prime is 53285819. The next prime is 53285821. The reversal of 53285820 is 2858235.

It is an interprime number because it is at equal distance from previous prime (53285819) and next prime (53285821).

It is a super-2 number, since 2×53285820² = 5678757226144800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53285821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121161 + ... + 121599.

Almost surely, 2^53285820 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 53285820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90773760).

53285820 is an abundant number, since it is smaller than the sum of its proper divisors (128261700).

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

53285820 is a wasteful number, since it uses less digits than its factorization.

53285820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 53285820 is about 7299.7136930156. The cubic root of 53285820 is about 376.3025989459.

The spelling of 53285820 in words is "fifty-three million, two hundred eighty-five thousand, eight hundred twenty".