53411832100 has 135 divisors (see below), whose sum is σ = 128164250305. Its totient is φ = 19320796000.

The previous prime is 53411832049. The next prime is 53411832119. The reversal of 53411832100 is 123811435.

It is a happy number.

The square root of 53411832100 is 231110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19228259556 + 34183572544 = 138666^2 + 184888^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 279643005 + ... + 279643195.

Almost surely, 2^53411832100 is an apocalyptic number.

53411832100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53411832100 is the 231110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53411832100

53411832100 is an abundant number, since it is smaller than the sum of its proper divisors (74752418205).

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

53411832100 is an equidigital number, since it uses as much as digits as its factorization.

53411832100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 53411832100 in words is "fifty-three billion, four hundred eleven million, eight hundred thirty-two thousand, one hundred".