513343002042 has 48 divisors (see below), whose sum is σ = 1203031032840. Its totient is φ = 157261931136.

The previous prime is 513343002019. The next prime is 513343002047. The reversal of 513343002042 is 240200343315.

513343002042 is a `hidden beast` number, since 5 + 1 + 334 + 300 + 20 + 4 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 511953129081 + 1389872961 = 715509^2 + 37281^2 .

It is a junction number, because it is equal to n+sod(n) for n = 513343001997 and 513343002015.

It is not an unprimeable number, because it can be changed into a prime (513343002047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4736313 + ... + 4843484.

Almost surely, 2^513343002042 is an apocalyptic number.

513343002042 is an abundant number, since it is smaller than the sum of its proper divisors (689688030798).

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

513343002042 is a wasteful number, since it uses less digits than its factorization.

513343002042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9580047 (or 9580044 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 513343002042 its reverse (240200343315), we get a palindrome (753543345357).

The spelling of 513343002042 in words is "five hundred thirteen billion, three hundred forty-three million, two thousand, forty-two".