1025610120 has 256 divisors, whose sum is σ = 3633408000. Its totient is φ = 256608000.

The previous prime is 1025610109. The next prime is 1025610133. The reversal of 1025610120 is 210165201.

1025610120 is a `hidden beast` number, since 10 + 25 + 610 + 1 + 20 = 666.

It is a super-2 number, since 2×1025610120² = 2103752236492828800, which contains 22 as substring.

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 = 1025610093 and 1025610102.

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, 3098355 + ... + 3098685.

It is an arithmetic number, because the mean of its divisors is an integer number (14193000).

Almost surely, 2^1025610120 is an apocalyptic number.

1025610120 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 1025610120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816704000).

1025610120 is an abundant number, since it is smaller than the sum of its proper divisors (2607797880).

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

1025610120 is a wasteful number, since it uses less digits than its factorization.

1025610120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1025610120 is about 32025.1482432166. The cubic root of 1025610120 is about 1008.4648507885.

Adding to 1025610120 its reverse (210165201), we get a palindrome (1235775321).

The spelling of 1025610120 in words is "one billion, twenty-five million, six hundred ten thousand, one hundred twenty".