5382107683969 has 9 divisors (see below), whose sum is σ = 5531589690921. Its totient is φ = 5236561796400.

The previous prime is 5382107683957. The next prime is 5382107684021. The reversal of 5382107683969 is 9693867012835.

The square root of 5382107683969 is 2319937.

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 925415140225 + 4456692543744 = 961985^2 + 2111088^2 .

It is not a de Polignac number, because 5382107683969 - 2⁵ = 5382107683937 is a prime.

It is a super-2 number, since 2×5382107683969² (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 (5382107683919) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 85806319 + ... + 85869019.

It is an arithmetic number, because the mean of its divisors is an integer number (614621076769).

Almost surely, 2^{5382107683969} is an apocalyptic number.

5382107683969 is the 2319937-th square number.

5382107683969 is the 1159969-th centered octagonal number.

It is an amenable number.

5382107683969 is a deficient number, since it is larger than the sum of its proper divisors (149482006952).

5382107683969 is an frugal number, since it uses more digits than its factorization.

5382107683969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125476 (or 62738 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 67.

The spelling of 5382107683969 in words is "five trillion, three hundred eighty-two billion, one hundred seven million, six hundred eighty-three thousand, nine hundred sixty-nine".