5302261496896 has 189 divisors, whose sum is σ = 13257614191221. Its totient is φ = 2096934787584.

The previous prime is 5302261496891. The next prime is 5302261496977. The reversal of 5302261496896 is 6986941622035.

The square root of 5302261496896 is 2302664.

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

It can be written as a sum of positive squares in only one way, i.e., 784358209600 + 4517903287296 = 885640^2 + 2125536^2 .

It is a super-2 number, since 2×5302261496896² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5302261496891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1676337811 + ... + 1676340973.

Almost surely, 2^{5302261496896} is an apocalyptic number.

5302261496896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5302261496896 is the 2302664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5302261496896

5302261496896 is an abundant number, since it is smaller than the sum of its proper divisors (7955352694325).

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

5302261496896 is an frugal number, since it uses more digits than its factorization.

5302261496896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6378 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 61.

The spelling of 5302261496896 in words is "five trillion, three hundred two billion, two hundred sixty-one million, four hundred ninety-six thousand, eight hundred ninety-six".