1052268165 has 160 divisors (see below), whose sum is σ = 2184040320. Its totient is φ = 480370176.

The previous prime is 1052268163. The next prime is 1052268181. The reversal of 1052268165 is 5618622501.

1052268165 is a `hidden beast` number, since 10 + 522 + 68 + 1 + 65 = 666.

It is not a de Polignac number, because 1052268165 - 2¹ = 1052268163 is a prime.

It is a super-2 number, since 2×1052268165² = 2214536582144934450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052268163) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6702267 + ... + 6702423.

It is an arithmetic number, because the mean of its divisors is an integer number (13650252).

Almost surely, 2^1052268165 is an apocalyptic number.

1052268165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1052268165 is an abundant number, since it is smaller than the sum of its proper divisors (1131772155).

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

1052268165 is a wasteful number, since it uses less digits than its factorization.

1052268165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1052268165 is about 32438.6831576129. The cubic root of 1052268165 is about 1017.1276890865.

It can be divided in two parts, 10522 and 68165, that added together give a palindrome (78687).

The spelling of 1052268165 in words is "one billion, fifty-two million, two hundred sixty-eight thousand, one hundred sixty-five".