820185525 has 72 divisors (see below), whose sum is σ = 1528485504. Its totient is φ = 420076800.

The previous prime is 820185493. The next prime is 820185557. The reversal of 820185525 is 525581028.

It is an interprime number because it is at equal distance from previous prime (820185493) and next prime (820185557).

It is not a de Polignac number, because 820185525 - 2⁵ = 820185493 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 820185525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 617412 + ... + 618738.

Almost surely, 2^820185525 is an apocalyptic number.

It is an amenable number.

820185525 is a deficient number, since it is larger than the sum of its proper divisors (708299979).

820185525 is a wasteful number, since it uses less digits than its factorization.

820185525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 820185525 is about 28638.8813503600. The cubic root of 820185525 is about 936.0607462493.

The spelling of 820185525 in words is "eight hundred twenty million, one hundred eighty-five thousand, five hundred twenty-five".