1002054125 has 8 divisors (see below), whose sum is σ = 1250563704. Its totient is φ = 801643200.

The previous prime is 1002054121. The next prime is 1002054161. The reversal of 1002054125 is 5214502001.

It can be written as a sum of positive squares in 4 ways, for example, as 268324 + 1001785801 = 518^2 + 31651^2 .

It is not a de Polignac number, because 1002054125 - 2² = 1002054121 is a prime.

It is a super-2 number, since 2×1002054125² = 2008224938859031250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002054097 and 1002054106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002054121) 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, 4008092 + ... + 4008341.

It is an arithmetic number, because the mean of its divisors is an integer number (156320463).

Almost surely, 2^1002054125 is an apocalyptic number.

It is an amenable number.

1002054125 is a deficient number, since it is larger than the sum of its proper divisors (248509579).

1002054125 is an frugal number, since it uses more digits than its factorization.

1002054125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8016448 (or 8016438 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 1002054125 is about 31655.2385080258. The cubic root of 1002054125 is about 1000.6842400421.

Adding to 1002054125 its reverse (5214502001), we get a palindrome (6216556126).

The spelling of 1002054125 in words is "one billion, two million, fifty-four thousand, one hundred twenty-five".