825229181952 has 1584 divisors, whose sum is σ = 3196334494080. Its totient is φ = 207346728960.

The previous prime is 825229181939. The next prime is 825229181963. The reversal of 825229181952 is 259181922528.

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

Its product of digits (2073600) is a multiple of the sum of its prime factors (150).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26620296177 + ... + 26620296207.

Almost surely, 2^825229181952 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 825229181952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598167247040).

825229181952 is an abundant number, since it is smaller than the sum of its proper divisors (2371105312128).

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

825229181952 is a wasteful number, since it uses less digits than its factorization.

825229181952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 89 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 54.

The spelling of 825229181952 in words is "eight hundred twenty-five billion, two hundred twenty-nine million, one hundred eighty-one thousand, nine hundred fifty-two".