8385948053 has 18 divisors (see below), whose sum is σ = 10295551926. Its totient is φ = 6809627664.

The previous prime is 8385948047. The next prime is 8385948059. The reversal of 8385948053 is 3508495838.

It is an interprime number because it is at equal distance from previous prime (8385948047) and next prime (8385948059).

It can be written as a sum of positive squares in only one way, i.e., 8324372644 + 61575409 = 91238^2 + 7847^2 .

It is not a de Polignac number, because 8385948053 - 2⁸ = 8385947797 is a prime.

It is a super-2 number, since 2×8385948053² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8385947986 and 8385948004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8385948059) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 219350 + ... + 254727.

It is an arithmetic number, because the mean of its divisors is an integer number (571975107).

Almost surely, 2^8385948053 is an apocalyptic number.

It is an amenable number.

8385948053 is a deficient number, since it is larger than the sum of its proper divisors (1909603873).

8385948053 is a wasteful number, since it uses less digits than its factorization.

8385948053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474129 (or 474103 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 53.

The square root of 8385948053 is about 91574.8221565295. The cubic root of 8385948053 is about 2031.6585613102.

The spelling of 8385948053 in words is "eight billion, three hundred eighty-five million, nine hundred forty-eight thousand, fifty-three".