53382100 has 18 divisors (see below), whose sum is σ = 115839374. Its totient is φ = 21352800.

The previous prime is 53382089. The next prime is 53382101. The reversal of 53382100 is 128335.

It can be written as a sum of positive squares in 3 ways, for example, as 9265936 + 44116164 = 3044^2 + 6642^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53382101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 266811 + ... + 267010.

Almost surely, 2^53382100 is an apocalyptic number.

53382100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53382100 is an abundant number, since it is smaller than the sum of its proper divisors (62457274).

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

53382100 is a wasteful number, since it uses less digits than its factorization.

53382100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533835 (or 533828 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 53382100 is about 7306.3054959398. The cubic root of 53382100 is about 376.5291045779.

The spelling of 53382100 in words is "fifty-three million, three hundred eighty-two thousand, one hundred".