53505210 has 64 divisors (see below), whose sum is σ = 140828544. Its totient is φ = 12902400.

The previous prime is 53505209. The next prime is 53505211. The reversal of 53505210 is 1250535.

53505210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53505209) and next prime (53505211).

It is not an unprimeable number, because it can be changed into a prime (53505211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92442 + ... + 93018.

It is an arithmetic number, because the mean of its divisors is an integer number (2200446).

Almost surely, 2^53505210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53505210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70414272).

53505210 is an abundant number, since it is smaller than the sum of its proper divisors (87323334).

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

53505210 is a wasteful number, since it uses less digits than its factorization.

53505210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879.

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 53505210 is about 7314.7255587616. The cubic root of 53505210 is about 376.8183332978.

Adding to 53505210 its reverse (1250535), we get a palindrome (54755745).

The spelling of 53505210 in words is "fifty-three million, five hundred five thousand, two hundred ten".