1008284125 has 8 divisors (see below), whose sum is σ = 1258338744. Its totient is φ = 806627200.

The previous prime is 1008284089. The next prime is 1008284129. The reversal of 1008284125 is 5214828001.

It can be written as a sum of positive squares in 4 ways, for example, as 300883716 + 707400409 = 17346^2 + 26597^2 .

It is not a de Polignac number, because 1008284125 - 2¹⁵ = 1008251357 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008284129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4033012 + ... + 4033261.

It is an arithmetic number, because the mean of its divisors is an integer number (157292343).

Almost surely, 2^1008284125 is an apocalyptic number.

It is an amenable number.

1008284125 is a deficient number, since it is larger than the sum of its proper divisors (250054619).

1008284125 is an frugal number, since it uses more digits than its factorization.

1008284125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8066288 (or 8066278 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 1008284125 is about 31753.4899656715. The cubic root of 1008284125 is about 1002.7537847088.

The spelling of 1008284125 in words is "one billion, eight million, two hundred eighty-four thousand, one hundred twenty-five".