1025116200 has 144 divisors (see below), whose sum is σ = 3468645180. Its totient is φ = 271303680.

The previous prime is 1025116193. The next prime is 1025116217. The reversal of 1025116200 is 26115201.

1025116200 is a `hidden beast` number, since 10 + 25 + 11 + 620 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 390378564 + 634737636 = 19758^2 + 25194^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 244522 + ... + 248678.

Almost surely, 2^1025116200 is an apocalyptic number.

1025116200 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 1025116200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734322590).

1025116200 is an abundant number, since it is smaller than the sum of its proper divisors (2443528980).

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

1025116200 is a wasteful number, since it uses less digits than its factorization.

1025116200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316 (or 4304 counting only the distinct ones).

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

The square root of 1025116200 is about 32017.4358748479. The cubic root of 1025116200 is about 1008.3029371040.

Subtracting from 1025116200 its reverse (26115201), we obtain a palindrome (999000999).

It can be divided in two parts, 10251 and 16200, that multiplied together give a triangular number (166066200 = T₁₈₂₂₄).

The spelling of 1025116200 in words is "one billion, twenty-five million, one hundred sixteen thousand, two hundred".