1314042500 has 60 divisors (see below), whose sum is σ = 2883623820. Its totient is φ = 523776000.

The previous prime is 1314042469. The next prime is 1314042517. The reversal of 1314042500 is 52404131.

It can be written as a sum of positive squares in 10 ways, for example, as 1197575236 + 116467264 = 34606^2 + 10792^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 881756 + ... + 883244.

It is an arithmetic number, because the mean of its divisors is an integer number (48060397).

Almost surely, 2^1314042500 is an apocalyptic number.

1314042500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314042500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441811910).

1314042500 is an abundant number, since it is smaller than the sum of its proper divisors (1569581320).

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

1314042500 is a wasteful number, since it uses less digits than its factorization.

1314042500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1314042500 is about 36249.7241368814. The cubic root of 1314042500 is about 1095.3085318669.

Adding to 1314042500 its reverse (52404131), we get a palindrome (1366446631).

The spelling of 1314042500 in words is "one billion, three hundred fourteen million, forty-two thousand, five hundred".