1005051125 has 32 divisors (see below), whose sum is σ = 1409571072. Its totient is φ = 709896000.

The previous prime is 1005051119. The next prime is 1005051127. The reversal of 1005051125 is 5211505001.

It is a happy number.

It is not a de Polignac number, because 1005051125 - 2⁴ = 1005051109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005051097 and 1005051106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005051127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23930 + ... + 50820.

It is an arithmetic number, because the mean of its divisors is an integer number (44049096).

Almost surely, 2^1005051125 is an apocalyptic number.

It is an amenable number.

1005051125 is a deficient number, since it is larger than the sum of its proper divisors (404519947).

1005051125 is a wasteful number, since it uses less digits than its factorization.

1005051125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26942 (or 26932 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 20.

The square root of 1005051125 is about 31702.5413019209. The cubic root of 1005051125 is about 1001.6808813881.

Adding to 1005051125 its reverse (5211505001), we get a palindrome (6216556126).

The spelling of 1005051125 in words is "one billion, five million, fifty-one thousand, one hundred twenty-five".