5207268419136 has 945 divisors, whose sum is σ = 18848543940759. Its totient is φ = 1370480799744.

The previous prime is 5207268419131. The next prime is 5207268419149. The reversal of 5207268419136 is 6319148627025.

It is a happy number.

The square root of 5207268419136 is 2281944.

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

5207268419136 is a `hidden beast` number, since 5 + 20 + 72 + 6 + 8 + 419 + 136 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1616091817536 + 3591176601600 = 1271256^2 + 1895040^2 .

It is a super-2 number, since 2×5207268419136² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5207268419131) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 110792945065 + ... + 110792945111.

It is a 1-persistent number, because it is pandigital, but 2⋅5207268419136 = 10414536838272 is not.

Almost surely, 2^{5207268419136} is an apocalyptic number.

5207268419136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5207268419136 is the 2281944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5207268419136

5207268419136 is an abundant number, since it is smaller than the sum of its proper divisors (13641275521623).

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

5207268419136 is an frugal number, since it uses more digits than its factorization.

5207268419136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 5207268419136 in words is "five trillion, two hundred seven billion, two hundred sixty-eight million, four hundred nineteen thousand, one hundred thirty-six".