1020825504 has 216 divisors, whose sum is σ = 3125539872. Its totient is φ = 327680640.

The previous prime is 1020825473. The next prime is 1020825517. The reversal of 1020825504 is 4055280201.

It is a happy number.

1020825504 is a `hidden beast` number, since 10 + 20 + 82 + 550 + 4 = 666.

1020825504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-3 number, since 3×1020825504³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14377789 + ... + 14377859.

It is an arithmetic number, because the mean of its divisors is an integer number (14470092).

Almost surely, 2^1020825504 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 1020825504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562769936).

1020825504 is an abundant number, since it is smaller than the sum of its proper divisors (2104714368).

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

1020825504 is an frugal number, since it uses more digits than its factorization.

1020825504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 1020825504 is about 31950.3599979719. The cubic root of 1020825504 is about 1006.8941955081.

The spelling of 1020825504 in words is "one billion, twenty million, eight hundred twenty-five thousand, five hundred four".