853069752 has 128 divisors (see below), whose sum is σ = 2518560000. Its totient is φ = 266779008.

The previous prime is 853069703. The next prime is 853069799. The reversal of 853069752 is 257960358.

It is a happy number.

853069752 is a `hidden beast` number, since 8 + 530 + 69 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 853069698 and 853069707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446383 + ... + 448289.

It is an arithmetic number, because the mean of its divisors is an integer number (19676250).

Almost surely, 2^853069752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853069752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259280000).

853069752 is an abundant number, since it is smaller than the sum of its proper divisors (1665490248).

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

853069752 is a wasteful number, since it uses less digits than its factorization.

853069752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 853069752 is about 29207.3578401060. The cubic root of 853069752 is about 948.4072116947.

The spelling of 853069752 in words is "eight hundred fifty-three million, sixty-nine thousand, seven hundred fifty-two".