513528642 has 48 divisors (see below), whose sum is σ = 1225860480. Its totient is φ = 154068000.

The previous prime is 513528641. The next prime is 513528667. The reversal of 513528642 is 246825315.

513528642 is a `hidden beast` number, since 5 + 1 + 3 + 5 + 2 + 8 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 513528597 and 513528606.

It is not an unprimeable number, because it can be changed into a prime (513528641) 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, 7159 + ... + 32837.

It is an arithmetic number, because the mean of its divisors is an integer number (25538760).

Almost surely, 2^513528642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513528642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612930240).

513528642 is an abundant number, since it is smaller than the sum of its proper divisors (712331838).

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

513528642 is a wasteful number, since it uses less digits than its factorization.

513528642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25799 (or 25796 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 513528642 is about 22661.1703581258. The cubic root of 513528642 is about 800.7953766662.

The spelling of 513528642 in words is "five hundred thirteen million, five hundred twenty-eight thousand, six hundred forty-two".