1025320320 has 384 divisors, whose sum is σ = 3863751840. Its totient is φ = 249495552.

The previous prime is 1025320297. The next prime is 1025320339. The reversal of 1025320320 is 230235201.

1025320320 is a `hidden beast` number, since 1 + 0 + 25 + 320 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1025320293 and 1025320302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3622899 + ... + 3623181.

Almost surely, 2^1025320320 is an apocalyptic number.

1025320320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931875920).

1025320320 is an abundant number, since it is smaller than the sum of its proper divisors (2838431520).

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

1025320320 is a wasteful number, since it uses less digits than its factorization.

1025320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 1025320320 is about 32020.6233543321. The cubic root of 1025320320 is about 1008.3698567165.

Adding to 1025320320 its reverse (230235201), we get a palindrome (1255555521).

The spelling of 1025320320 in words is "one billion, twenty-five million, three hundred twenty thousand, three hundred twenty".