53513530000 has 200 divisors, whose sum is σ = 148478121792. Its totient is φ = 18297024000.

The previous prime is 53513529959. The next prime is 53513530013. The reversal of 53513530000 is 3531535.

It is a happy number.

53513530000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×53513530000³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32689182 + ... + 32690818.

Almost surely, 2^53513530000 is an apocalyptic number.

53513530000 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 53513530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74239060896).

53513530000 is an abundant number, since it is smaller than the sum of its proper divisors (94964591792).

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

53513530000 is a wasteful number, since it uses less digits than its factorization.

53513530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 25.

The spelling of 53513530000 in words is "fifty-three billion, five hundred thirteen million, five hundred thirty thousand".