53008000 has 64 divisors (see below), whose sum is σ = 131830920. Its totient is φ = 21196800.

The previous prime is 53007991. The next prime is 53008009. The reversal of 53008000 is 80035.

It is an interprime number because it is at equal distance from previous prime (53007991) and next prime (53008009).

It can be written as a sum of positive squares in 4 ways, for example, as 28643904 + 24364096 = 5352^2 + 4936^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (53008009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14344 + ... + 17656.

Almost surely, 2^53008000 is an apocalyptic number.

53008000 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 53008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65915460).

53008000 is an abundant number, since it is smaller than the sum of its proper divisors (78822920).

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

53008000 is an equidigital number, since it uses as much as digits as its factorization.

53008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 3320 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 53008000 is about 7280.6593108042. The cubic root of 53008000 is about 375.6474740222.

Adding to 53008000 its reverse (80035), we get a palindrome (53088035).

The spelling of 53008000 in words is "fifty-three million, eight thousand".