1025658000 has 240 divisors, whose sum is σ = 3772080000. Its totient is φ = 259027200.

The previous prime is 1025657999. The next prime is 1025658013. The reversal of 1025658000 is 8565201.

1025658000 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 658 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340501 + ... + 343499.

It is an arithmetic number, because the mean of its divisors is an integer number (15717000).

Almost surely, 2^1025658000 is an apocalyptic number.

1025658000 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 1025658000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886040000).

1025658000 is an abundant number, since it is smaller than the sum of its proper divisors (2746422000).

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

1025658000 is a wasteful number, since it uses less digits than its factorization.

1025658000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1025658000 is about 32025.8957720155. The cubic root of 1025658000 is about 1008.4805437387.

The spelling of 1025658000 in words is "one billion, twenty-five million, six hundred fifty-eight thousand".