1001314125 has 96 divisors (see below), whose sum is σ = 2111586048. Its totient is φ = 446947200.

The previous prime is 1001314123. The next prime is 1001314133. The reversal of 1001314125 is 5214131001.

It is not a de Polignac number, because 1001314125 - 2¹ = 1001314123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001314098 and 1001314107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001314123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 337147 + ... + 340103.

It is an arithmetic number, because the mean of its divisors is an integer number (21995688).

Almost surely, 2^1001314125 is an apocalyptic number.

1001314125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1001314125 is an abundant number, since it is smaller than the sum of its proper divisors (1110271923).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001314125 is a wasteful number, since it uses less digits than its factorization.

1001314125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3028 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1001314125 is about 31643.5479205477. The cubic root of 1001314125 is about 1000.4378499261.

Adding to 1001314125 its reverse (5214131001), we get a palindrome (6215445126).

The spelling of 1001314125 in words is "one billion, one million, three hundred fourteen thousand, one hundred twenty-five".