852972527 has 8 divisors (see below), whose sum is σ = 937211520. Its totient is φ = 769849560.

The previous prime is 852972509. The next prime is 852972541. The reversal of 852972527 is 725279258.

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 852972527 - 2⁸ = 852972271 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852972727) 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, 277403 + ... + 280460.

It is an arithmetic number, because the mean of its divisors is an integer number (117151440).

Almost surely, 2^852972527 is an apocalyptic number.

852972527 is a deficient number, since it is larger than the sum of its proper divisors (84238993).

852972527 is a wasteful number, since it uses less digits than its factorization.

852972527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558013.

The product of its digits is 705600, while the sum is 47.

The square root of 852972527 is about 29205.6934004314. The cubic root of 852972527 is about 948.3711800985.

It can be divided in two parts, 852 and 972527, that added together give a palindrome (973379).

The spelling of 852972527 in words is "eight hundred fifty-two million, nine hundred seventy-two thousand, five hundred twenty-seven".