53161600 has 96 divisors (see below), whose sum is σ = 135175500. Its totient is φ = 20643840.

The previous prime is 53161541. The next prime is 53161609. The reversal of 53161600 is 616135.

It can be written as a sum of positive squares in 6 ways, for example, as 34012224 + 19149376 = 5832^2 + 4376^2 .

It is not an unprimeable number, because it can be changed into a prime (53161609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118176 + ... + 118624.

Almost surely, 2^53161600 is an apocalyptic number.

53161600 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 53161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67587750).

53161600 is an abundant number, since it is smaller than the sum of its proper divisors (82013900).

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

53161600 is a wasteful number, since it uses less digits than its factorization.

53161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 53161600 is about 7291.2001755541. The cubic root of 53161600 is about 376.0099589938.

Adding to 53161600 its reverse (616135), we get a palindrome (53777735).

The spelling of 53161600 in words is "fifty-three million, one hundred sixty-one thousand, six hundred".