825201405 has 128 divisors (see below), whose sum is σ = 1741824000. Its totient is φ = 370440000.

The previous prime is 825201401. The next prime is 825201427. The reversal of 825201405 is 504102528.

It is a happy number.

825201405 is a `hidden beast` number, since 8 + 252 + 0 + 1 + 405 = 666.

It is not a de Polignac number, because 825201405 - 2² = 825201401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825201401) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3287530 + ... + 3287780.

It is an arithmetic number, because the mean of its divisors is an integer number (13608000).

Almost surely, 2^825201405 is an apocalyptic number.

It is an amenable number.

825201405 is an abundant number, since it is smaller than the sum of its proper divisors (916622595).

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

825201405 is a wasteful number, since it uses less digits than its factorization.

825201405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 825201405 is about 28726.3190297678. The cubic root of 825201405 is about 937.9650428793.

The spelling of 825201405 in words is "eight hundred twenty-five million, two hundred one thousand, four hundred five".