1025361120 has 384 divisors, whose sum is σ = 4049740800. Its totient is φ = 212631552.

The previous prime is 1025361109. The next prime is 1025361133. The reversal of 1025361120 is 211635201.

1025361120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1656171 + ... + 1656789.

It is an arithmetic number, because the mean of its divisors is an integer number (10546200).

Almost surely, 2^1025361120 is an apocalyptic number.

1025361120 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 1025361120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024870400).

1025361120 is an abundant number, since it is smaller than the sum of its proper divisors (3024379680).

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

1025361120 is a wasteful number, since it uses less digits than its factorization.

1025361120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1025361120 is about 32021.2604374031. The cubic root of 1025361120 is about 1008.3832317056.

Adding to 1025361120 its reverse (211635201), we get a palindrome (1236996321).

The spelling of 1025361120 in words is "one billion, twenty-five million, three hundred sixty-one thousand, one hundred twenty".