825765382242 has 32 divisors (see below), whose sum is σ = 1835088773760. Its totient is φ = 275246938800.

The previous prime is 825765382207. The next prime is 825765382243. The reversal of 825765382242 is 242283567528.

825765382242 is a `hidden beast` number, since 8 + 2 + 576 + 5 + 3 + 8 + 22 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (825765382243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1764568 + ... + 2182940.

It is an arithmetic number, because the mean of its divisors is an integer number (57346524180).

Almost surely, 2^825765382242 is an apocalyptic number.

825765382242 is an abundant number, since it is smaller than the sum of its proper divisors (1009323391518).

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

825765382242 is a wasteful number, since it uses less digits than its factorization.

825765382242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454935 (or 454929 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The spelling of 825765382242 in words is "eight hundred twenty-five billion, seven hundred sixty-five million, three hundred eighty-two thousand, two hundred forty-two".