5281363631250 has 864 divisors, whose sum is σ = 17358295997952. Its totient is φ = 1155772800000.

The previous prime is 5281363631191. The next prime is 5281363631267. The reversal of 5281363631250 is 521363631825.

5281363631250 is a `hidden beast` number, since 5 + 2 + 8 + 1 + 3 + 6 + 3 + 631 + 2 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 5281363631196 and 5281363631205.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 9655143477 + ... + 9655144023.

It is an arithmetic number, because the mean of its divisors is an integer number (20090620368).

Almost surely, 2^{5281363631250} is an apocalyptic number.

5281363631250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5281363631250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8679147998976).

5281363631250 is an abundant number, since it is smaller than the sum of its proper divisors (12076932366702).

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

5281363631250 is a wasteful number, since it uses less digits than its factorization.

5281363631250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 5281363631250 in words is "five trillion, two hundred eighty-one billion, three hundred sixty-three million, six hundred thirty-one thousand, two hundred fifty".