825253245252 has 18 divisors (see below), whose sum is σ = 2086056814478. Its totient is φ = 275084415072.

The previous prime is 825253245241. The next prime is 825253245259. The reversal of 825253245252 is 252542352528.

825253245252 is a `hidden beast` number, since 8 + 2 + 52 + 53 + 24 + 525 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 799117996356 + 26135248896 = 893934^2 + 161664^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 825253245198 and 825253245207.

It is not an unprimeable number, because it can be changed into a prime (825253245259) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11461850593 + ... + 11461850664.

Almost surely, 2^825253245252 is an apocalyptic number.

It is an amenable number.

825253245252 is an abundant number, since it is smaller than the sum of its proper divisors (1260803569226).

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

825253245252 is a wasteful number, since it uses less digits than its factorization.

825253245252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22923701267 (or 22923701262 counting only the distinct ones).

The product of its digits is 1920000, while the sum is 45.

The spelling of 825253245252 in words is "eight hundred twenty-five billion, two hundred fifty-three million, two hundred forty-five thousand, two hundred fifty-two".