1002114125 has 8 divisors (see below), whose sum is σ = 1250638584. Its totient is φ = 801691200.

The previous prime is 1002114121. The next prime is 1002114133. The reversal of 1002114125 is 5214112001.

It can be written as a sum of positive squares in 4 ways, for example, as 644809 + 1001469316 = 803^2 + 31646^2 .

It is not a de Polignac number, because 1002114125 - 2² = 1002114121 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 (1002114121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4008332 + ... + 4008581.

It is an arithmetic number, because the mean of its divisors is an integer number (156329823).

Almost surely, 2^1002114125 is an apocalyptic number.

It is an amenable number.

1002114125 is a deficient number, since it is larger than the sum of its proper divisors (248524459).

1002114125 is an frugal number, since it uses more digits than its factorization.

1002114125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8016928 (or 8016918 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 1002114125 is about 31656.1862042793. The cubic root of 1002114125 is about 1000.7042123020.

Adding to 1002114125 its reverse (5214112001), we get a palindrome (6216226126).

The spelling of 1002114125 in words is "one billion, two million, one hundred fourteen thousand, one hundred twenty-five".