53010457600 has 99 divisors (see below), whose sum is σ = 131493120577. Its totient is φ = 21189447680.

The previous prime is 53010457537. The next prime is 53010457601. The reversal of 53010457600 is 675401035.

The square root of 53010457600 is 230240.

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., 19083764736 + 33926692864 = 138144^2 + 184192^2 .

It is a super-2 number, since 2×53010457600² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53010457601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36837681 + ... + 36839119.

Almost surely, 2^53010457600 is an apocalyptic number.

53010457600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53010457600 is the 230240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53010457600

53010457600 is an abundant number, since it is smaller than the sum of its proper divisors (78482662977).

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

53010457600 is an frugal number, since it uses more digits than its factorization.

53010457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

Adding to 53010457600 its reverse (675401035), we get a palindrome (53685858635).

The spelling of 53010457600 in words is "fifty-three billion, ten million, four hundred fifty-seven thousand, six hundred".