1314135510 has 64 divisors (see below), whose sum is σ = 3245018112. Its totient is φ = 340426496.

The previous prime is 1314135467. The next prime is 1314135517. The reversal of 1314135510 is 155314131.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314135517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189769 + ... + 196571.

It is an arithmetic number, because the mean of its divisors is an integer number (50703408).

Almost surely, 2^1314135510 is an apocalyptic number.

1314135510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314135510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622509056).

1314135510 is an abundant number, since it is smaller than the sum of its proper divisors (1930882602).

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

1314135510 is a wasteful number, since it uses less digits than its factorization.

1314135510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6997.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 1314135510 is about 36251.0070204953. The cubic root of 1314135510 is about 1095.3343738122.

Adding to 1314135510 its reverse (155314131), we get a palindrome (1469449641).

The spelling of 1314135510 in words is "one billion, three hundred fourteen million, one hundred thirty-five thousand, five hundred ten".