1314501000 has 128 divisors (see below), whose sum is σ = 4201666560. Its totient is φ = 341952000.

The previous prime is 1314500981. The next prime is 1314501011. The reversal of 1314501000 is 1054131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117657 + ... + 128343.

It is an arithmetic number, because the mean of its divisors is an integer number (32825520).

Almost surely, 2^1314501000 is an apocalyptic number.

1314501000 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 1314501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100833280).

1314501000 is an abundant number, since it is smaller than the sum of its proper divisors (2887165560).

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

1314501000 is a wasteful number, since it uses less digits than its factorization.

1314501000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10752 (or 10738 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1314501000 is about 36256.0477713719. The cubic root of 1314501000 is about 1095.4359099295.

Adding to 1314501000 its reverse (1054131), we get a palindrome (1315555131).

The spelling of 1314501000 in words is "one billion, three hundred fourteen million, five hundred one thousand".