1513022005242 has 256 divisors, whose sum is σ = 4096745164800. Its totient is φ = 407945134080.

The previous prime is 1513022005241. The next prime is 1513022005289. The reversal of 1513022005242 is 2425002203151.

1513022005242 is a `hidden beast` number, since 1 + 5 + 130 + 2 + 2 + 0 + 0 + 524 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1513022005241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93428698 + ... + 93444890.

It is an arithmetic number, because the mean of its divisors is an integer number (16002910800).

Almost surely, 2^{1513022005242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1513022005242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048372582400).

1513022005242 is an abundant number, since it is smaller than the sum of its proper divisors (2583723159558).

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

1513022005242 is a wasteful number, since it uses less digits than its factorization.

1513022005242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16738 (or 16732 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 1513022005242 its reverse (2425002203151), we get a palindrome (3938024208393).

The spelling of 1513022005242 in words is "one trillion, five hundred thirteen billion, twenty-two million, five thousand, two hundred forty-two".