1025352000 has 448 divisors, whose sum is σ = 3879982080. Its totient is φ = 264960000.

The previous prime is 1025351969. The next prime is 1025352019. The reversal of 1025352000 is 2535201.

It is a happy number.

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

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 63 ways as a sum of consecutive naturals, for example, 10151950 + ... + 10152050.

Almost surely, 2^1025352000 is an apocalyptic number.

1025352000 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 1025352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939991040).

1025352000 is an abundant number, since it is smaller than the sum of its proper divisors (2854630080).

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

1025352000 is a wasteful number, since it uses less digits than its factorization.

1025352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 1025352000 is about 32021.1180316990. The cubic root of 1025352000 is about 1008.3802420330.

Adding to 1025352000 its reverse (2535201), we get a palindrome (1027887201).

The spelling of 1025352000 in words is "one billion, twenty-five million, three hundred fifty-two thousand".