53145320 has 64 divisors (see below), whose sum is σ = 124146000. Its totient is φ = 20459520.

The previous prime is 53145319. The next prime is 53145329. The reversal of 53145320 is 2354135.

It can be written as a sum of positive squares in 8 ways, for example, as 30316036 + 22829284 = 5506^2 + 4778^2 .

It is not an unprimeable number, because it can be changed into a prime (53145329) 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, 220400 + ... + 220640.

Almost surely, 2^53145320 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 53145320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62073000).

53145320 is an abundant number, since it is smaller than the sum of its proper divisors (71000680).

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

53145320 is a wasteful number, since it uses less digits than its factorization.

53145320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 53145320 is about 7290.0836757886. The cubic root of 53145320 is about 375.9715724698.

Adding to 53145320 its reverse (2354135), we get a palindrome (55499455).

The spelling of 53145320 in words is "fifty-three million, one hundred forty-five thousand, three hundred twenty".