825142528 has 144 divisors (see below), whose sum is σ = 1961455104. Its totient is φ = 339148800.

The previous prime is 825142519. The next prime is 825142537. The reversal of 825142528 is 825241528.

It is an interprime number because it is at equal distance from previous prime (825142519) and next prime (825142537).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8169678 + ... + 8169778.

It is an arithmetic number, because the mean of its divisors is an integer number (13621216).

Almost surely, 2^825142528 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 825142528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980727552).

825142528 is an abundant number, since it is smaller than the sum of its proper divisors (1136312576).

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

825142528 is a wasteful number, since it uses less digits than its factorization.

825142528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 254 counting only the distinct ones).

The product of its digits is 51200, while the sum is 37.

The square root of 825142528 is about 28725.2942195550. The cubic root of 825142528 is about 937.9427348379.

The spelling of 825142528 in words is "eight hundred twenty-five million, one hundred forty-two thousand, five hundred twenty-eight".