513523222542 has 96 divisors (see below), whose sum is σ = 1226346432480. Its totient is φ = 154003680000.

The previous prime is 513523222501. The next prime is 513523222621. The reversal of 513523222542 is 245222325315.

It is a happy number.

513523222542 is a `hidden beast` number, since 5 + 13 + 52 + 32 + 22 + 542 = 666.

It is a super-2 number, since 2×513523222542² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 513523222497 and 513523222506.

It is a congruent number.

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, 61209684 + ... + 61218072.

It is an arithmetic number, because the mean of its divisors is an integer number (12774442005).

Almost surely, 2^513523222542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513523222542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613173216240).

513523222542 is an abundant number, since it is smaller than the sum of its proper divisors (712823209938).

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

513523222542 is a wasteful number, since it uses less digits than its factorization.

513523222542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11570 (or 11567 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

Adding to 513523222542 its reverse (245222325315), we get a palindrome (758745547857).

The spelling of 513523222542 in words is "five hundred thirteen billion, five hundred twenty-three million, two hundred twenty-two thousand, five hundred forty-two".