1025973000 has 512 divisors, whose sum is σ = 3983616000. Its totient is φ = 242611200.

The previous prime is 1025972999. The next prime is 1025973023. The reversal of 1025973000 is 3795201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12986961 + ... + 12987039.

It is an arithmetic number, because the mean of its divisors is an integer number (7780500).

Almost surely, 2^1025973000 is an apocalyptic number.

1025973000 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 1025973000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991808000).

1025973000 is an abundant number, since it is smaller than the sum of its proper divisors (2957643000).

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

1025973000 is a wasteful number, since it uses less digits than its factorization.

1025973000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 1025973000 is about 32030.8132897059. The cubic root of 1025973000 is about 1008.5837746584.

The spelling of 1025973000 in words is "one billion, twenty-five million, nine hundred seventy-three thousand".