852409557 has 24 divisors (see below), whose sum is σ = 1304798040. Its totient is φ = 535288320.

The previous prime is 852409553. The next prime is 852409609. The reversal of 852409557 is 755904258.

852409557 is a `hidden beast` number, since 8 + 52 + 40 + 9 + 557 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76842756 + 775566801 = 8766^2 + 27849^2 .

It is not a de Polignac number, because 852409557 - 2² = 852409553 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852409553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29128 + ... + 50529.

It is an arithmetic number, because the mean of its divisors is an integer number (54366585).

Almost surely, 2^852409557 is an apocalyptic number.

852409557 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

852409557 is a deficient number, since it is larger than the sum of its proper divisors (452388483).

852409557 is a wasteful number, since it uses less digits than its factorization.

852409557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79733 (or 79730 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 852409557 is about 29196.0537915657. The cubic root of 852409557 is about 948.1624895056.

The spelling of 852409557 in words is "eight hundred fifty-two million, four hundred nine thousand, five hundred fifty-seven".