5143506484900 has 243 divisors, whose sum is σ = 13129154248707. Its totient is φ = 1743947452800.

The previous prime is 5143506484871. The next prime is 5143506484927. The reversal of 5143506484900 is 94846053415.

The square root of 5143506484900 is 2267930.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2760509144484 + 2382997340416 = 1661478^2 + 1543696^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 28417162810 + ... + 28417162990.

Almost surely, 2^{5143506484900} is an apocalyptic number.

5143506484900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5143506484900 is the 2267930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5143506484900

5143506484900 is an abundant number, since it is smaller than the sum of its proper divisors (7985647763807).

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

5143506484900 is a wasteful number, since it uses less digits than its factorization.

5143506484900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 49.

Multiplying 5143506484900 by its sum of digits (49), we get a square (252031817760100 = 15875510²).

5143506484900 divided by its sum of digits (49) gives a square (104969520100 = 323990²).

The spelling of 5143506484900 in words is "five trillion, one hundred forty-three billion, five hundred six million, four hundred eighty-four thousand, nine hundred".