513858534 has 64 divisors (see below), whose sum is σ = 1253429760. Its totient is φ = 137168640.

The previous prime is 513858533. The next prime is 513858539. The reversal of 513858534 is 435858315.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513858533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53844 + ... + 62664.

It is an arithmetic number, because the mean of its divisors is an integer number (19584840).

Almost surely, 2^513858534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513858534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626714880).

513858534 is an abundant number, since it is smaller than the sum of its proper divisors (739571226).

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

513858534 is a wasteful number, since it uses less digits than its factorization.

513858534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8925.

The product of its digits is 288000, while the sum is 42.

The square root of 513858534 is about 22668.4479839269. The cubic root of 513858534 is about 800.9668175674.

The spelling of 513858534 in words is "five hundred thirteen million, eight hundred fifty-eight thousand, five hundred thirty-four".