1025505000 has 240 divisors, whose sum is σ = 3739756020. Its totient is φ = 252288000.

The previous prime is 1025504983. The next prime is 1025505007. The reversal of 1025505000 is 5055201.

It can be written as a sum of positive squares in 10 ways, for example, as 514654596 + 510850404 = 22686^2 + 22602^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1025505007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 584124 + ... + 585876.

Almost surely, 2^1025505000 is an apocalyptic number.

1025505000 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 1025505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869878010).

1025505000 is an abundant number, since it is smaller than the sum of its proper divisors (2714251020).

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

1025505000 is a wasteful number, since it uses less digits than its factorization.

1025505000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 1025505000 is about 32023.5069909590. The cubic root of 1025505000 is about 1008.4303953799.

The spelling of 1025505000 in words is "one billion, twenty-five million, five hundred five thousand".