1007861825 has 12 divisors (see below), whose sum is σ = 1270238268. Its totient is φ = 793070400.

The previous prime is 1007861809. The next prime is 1007861837. The reversal of 1007861825 is 5281687001.

It can be written as a sum of positive squares in 6 ways, for example, as 46117681 + 961744144 = 6791^2 + 31012^2 .

It is not a de Polignac number, because 1007861825 - 2⁴ = 1007861809 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 328922 + ... + 331971.

It is an arithmetic number, because the mean of its divisors is an integer number (105853189).

Almost surely, 2^1007861825 is an apocalyptic number.

It is an amenable number.

1007861825 is a deficient number, since it is larger than the sum of its proper divisors (262376443).

1007861825 is an equidigital number, since it uses as much as digits as its factorization.

1007861825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660964 (or 660959 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 38.

The square root of 1007861825 is about 31746.8396064868. The cubic root of 1007861825 is about 1002.6137705844.

The spelling of 1007861825 in words is "one billion, seven million, eight hundred sixty-one thousand, eight hundred twenty-five".