1002705825 has 36 divisors (see below), whose sum is σ = 1822234064. Its totient is φ = 486156000.

The previous prime is 1002705811. The next prime is 1002705857. The reversal of 1002705825 is 5285072001.

It is not a de Polignac number, because 1002705825 - 2¹⁷ = 1002574753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002705792 and 1002705801.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46171 + ... + 64320.

Almost surely, 2^1002705825 is an apocalyptic number.

1002705825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1002705825 is a deficient number, since it is larger than the sum of its proper divisors (819528239).

1002705825 is a wasteful number, since it uses less digits than its factorization.

1002705825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110526 (or 110510 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 1002705825 is about 31665.5305497950. The cubic root of 1002705825 is about 1000.9011293886.

Adding to 1002705825 its reverse (5285072001), we get a palindrome (6287777826).

The spelling of 1002705825 in words is "one billion, two million, seven hundred five thousand, eight hundred twenty-five".