825697152 has 320 divisors, whose sum is σ = 2906787840. Its totient is φ = 227681280.

The previous prime is 825697151. The next prime is 825697207. The reversal of 825697152 is 251796528.

825697152 is a `hidden beast` number, since 82 + 569 + 7 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×825697152² = 1363551573641822208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 825697098 and 825697107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825697151) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2249673 + ... + 2250039.

It is an arithmetic number, because the mean of its divisors is an integer number (9083712).

Almost surely, 2^825697152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825697152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453393920).

825697152 is an abundant number, since it is smaller than the sum of its proper divisors (2081090688).

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

825697152 is a wasteful number, since it uses less digits than its factorization.

825697152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 410 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 825697152 is about 28734.9465285739. The cubic root of 825697152 is about 938.1528355273.

The spelling of 825697152 in words is "eight hundred twenty-five million, six hundred ninety-seven thousand, one hundred fifty-two".