5213513480448 has 1152 divisors, whose sum is σ = 18381636403200. Its totient is φ = 1282137292800.

The previous prime is 5213513480443. The next prime is 5213513480467. The reversal of 5213513480448 is 8440843153125.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5213513480397 and 5213513480406.

It is not an unprimeable number, because it can be changed into a prime (5213513480443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10618153483 + ... + 10618153973.

It is an arithmetic number, because the mean of its divisors is an integer number (15956281600).

Almost surely, 2^{5213513480448} is an apocalyptic number.

5213513480448 is a gapful number since it is divisible by the number (58) 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 5213513480448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9190818201600).

5213513480448 is an abundant number, since it is smaller than the sum of its proper divisors (13168122922752).

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

5213513480448 is a wasteful number, since it uses less digits than its factorization.

5213513480448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 5213513480448 in words is "five trillion, two hundred thirteen billion, five hundred thirteen million, four hundred eighty thousand, four hundred forty-eight".