53038090000 has 375 divisors, whose sum is σ = 153058479827. Its totient is φ = 17797584000.

The previous prime is 53038089989. The next prime is 53038090009. The reversal of 53038090000 is 9083035.

It is a happy number.

The square root of 53038090000 is 230300.

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

It can be written as a sum of positive squares in 2 ways, for example, as 4158186256 + 48879903744 = 64484^2 + 221088^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53038090009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1128469977 + ... + 1128470023.

Almost surely, 2^53038090000 is an apocalyptic number.

53038090000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53038090000 is the 230300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53038090000

53038090000 is an abundant number, since it is smaller than the sum of its proper divisors (100020389827).

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

53038090000 is an frugal number, since it uses more digits than its factorization.

53038090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The spelling of 53038090000 in words is "fifty-three billion, thirty-eight million, ninety thousand".