53312100 has 144 divisors (see below), whose sum is σ = 166656000. Its totient is φ = 13115520.

The previous prime is 53312093. The next prime is 53312113. The reversal of 53312100 is 121335.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 53312100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267801 + ... + 267999.

Almost surely, 2^53312100 is an apocalyptic number.

53312100 is a gapful number since it is divisible by the number (50) 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 53312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83328000).

53312100 is an abundant number, since it is smaller than the sum of its proper divisors (113343900).

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

53312100 is a wasteful number, since it uses less digits than its factorization.

53312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 53312100 is about 7301.5135417254. The cubic root of 53312100 is about 376.3644515925.

Adding to 53312100 its reverse (121335), we get a palindrome (53433435).

The spelling of 53312100 in words is "fifty-three million, three hundred twelve thousand, one hundred".