53135050224 has 80 divisors (see below), whose sum is σ = 139697308800. Its totient is φ = 17400300288.

The previous prime is 53135050211. The next prime is 53135050253. The reversal of 53135050224 is 42205053135.

It is a junction number, because it is equal to n+sod(n) for n = 53135050191 and 53135050200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 675882 + ... + 750390.

It is an arithmetic number, because the mean of its divisors is an integer number (1746216360).

Almost surely, 2^53135050224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53135050224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69848654400).

53135050224 is an abundant number, since it is smaller than the sum of its proper divisors (86562258576).

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

53135050224 is a wasteful number, since it uses less digits than its factorization.

53135050224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74782 (or 74776 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 53135050224 in words is "fifty-three billion, one hundred thirty-five million, fifty thousand, two hundred twenty-four".