1025962000 has 360 divisors, whose sum is σ = 3150702360. Its totient is φ = 321753600.

The previous prime is 1025961997. The next prime is 1025962009. The reversal of 1025962000 is 2695201.

It can be written as a sum of positive squares in 4 ways, for example, as 40755456 + 985206544 = 6384^2 + 31388^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025962009) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 35377986 + ... + 35378014.

It is an arithmetic number, because the mean of its divisors is an integer number (8751951).

Almost surely, 2^1025962000 is an apocalyptic number.

1025962000 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 1025962000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575351180).

1025962000 is an abundant number, since it is smaller than the sum of its proper divisors (2124740360).

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

1025962000 is a wasteful number, since it uses less digits than its factorization.

1025962000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 1025962000 is about 32030.6415795875. The cubic root of 1025962000 is about 1008.5801701252.

The spelling of 1025962000 in words is "one billion, twenty-five million, nine hundred sixty-two thousand".