513515332242 has 96 divisors (see below), whose sum is σ = 1217481160896. Its totient is φ = 155134742400.

The previous prime is 513515332207. The next prime is 513515332261. The reversal of 513515332242 is 242233515315.

513515332242 is a `hidden beast` number, since 5 + 13 + 51 + 533 + 22 + 42 = 666.

It is a super-2 number, since 2×513515332242² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 513515332197 and 513515332206.

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, 154531993 + ... + 154535315.

It is an arithmetic number, because the mean of its divisors is an integer number (12682095426).

Almost surely, 2^513515332242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513515332242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608740580448).

513515332242 is an abundant number, since it is smaller than the sum of its proper divisors (703965828654).

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

513515332242 is a wasteful number, since it uses less digits than its factorization.

513515332242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5496 (or 5493 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

Adding to 513515332242 its reverse (242233515315), we get a palindrome (755748847557).

The spelling of 513515332242 in words is "five hundred thirteen billion, five hundred fifteen million, three hundred thirty-two thousand, two hundred forty-two".