513840294 has 96 divisors (see below), whose sum is σ = 1321488000. Its totient is φ = 147478320.

The previous prime is 513840293. The next prime is 513840307. The reversal of 513840294 is 492048315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513840293) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 122077 + ... + 126215.

It is an arithmetic number, because the mean of its divisors is an integer number (13765500).

Almost surely, 2^513840294 is an apocalyptic number.

513840294 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 513840294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660744000).

513840294 is an abundant number, since it is smaller than the sum of its proper divisors (807647706).

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

513840294 is a wasteful number, since it uses less digits than its factorization.

513840294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4191 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 513840294 is about 22668.0456590329. The cubic root of 513840294 is about 800.9573403756.

The spelling of 513840294 in words is "five hundred thirteen million, eight hundred forty thousand, two hundred ninety-four".