513542034 has 96 divisors (see below), whose sum is σ = 1193512320. Its totient is φ = 159296256.

The previous prime is 513542027. The next prime is 513542053. The reversal of 513542034 is 430245315.

It is a junction number, because it is equal to n+sod(n) for n = 513541989 and 513542007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3075019 + ... + 3075185.

It is an arithmetic number, because the mean of its divisors is an integer number (12432420).

Almost surely, 2^513542034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513542034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596756160).

513542034 is an abundant number, since it is smaller than the sum of its proper divisors (679970286).

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

513542034 is a wasteful number, since it uses less digits than its factorization.

513542034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 513542034 is about 22661.4658396142. The cubic root of 513542034 is about 800.8023377570.

Adding to 513542034 its reverse (430245315), we get a palindrome (943787349).

The spelling of 513542034 in words is "five hundred thirteen million, five hundred forty-two thousand, thirty-four".