5385952667 has 8 divisors (see below), whose sum is σ = 5705538000. Its totient is φ = 5069978784.

The previous prime is 5385952661. The next prime is 5385952673. The reversal of 5385952667 is 7662595835.

5385952667 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5385952661) and next prime (5385952673).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 5385952667 - 2¹⁰ = 5385951643 is a prime.

It is a super-2 number, since 2×5385952667² = 58016972262328825778, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5385952661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 899792 + ... + 905757.

It is an arithmetic number, because the mean of its divisors is an integer number (713192250).

Almost surely, 2^5385952667 is an apocalyptic number.

5385952667 is a deficient number, since it is larger than the sum of its proper divisors (319585333).

5385952667 is a wasteful number, since it uses less digits than its factorization.

5385952667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805725.

The product of its digits is 13608000, while the sum is 56.

The square root of 5385952667 is about 73389.0500483553. The cubic root of 5385952667 is about 1752.8880385184. Note that the first 3 decimals are identical.

The spelling of 5385952667 in words is "five billion, three hundred eighty-five million, nine hundred fifty-two thousand, six hundred sixty-seven".