1513061984808 has 288 divisors, whose sum is σ = 4614560496000. Its totient is φ = 444106690560.

The previous prime is 1513061984773. The next prime is 1513061984857. The reversal of 1513061984808 is 8084891603151.

It is a happy number.

1513061984808 is a `hidden beast` number, since 1 + 5 + 13 + 0 + 61 + 98 + 480 + 8 = 666.

It is a super-2 number, since 2×1513061984808² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 175749208 + ... + 175757816.

It is an arithmetic number, because the mean of its divisors is an integer number (16022779500).

Almost surely, 2^{1513061984808} is an apocalyptic number.

1513061984808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1513061984808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307280248000).

1513061984808 is an abundant number, since it is smaller than the sum of its proper divisors (3101498511192).

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

1513061984808 is a wasteful number, since it uses less digits than its factorization.

1513061984808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8817 (or 8757 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 1513061984808 in words is "one trillion, five hundred thirteen billion, sixty-one million, nine hundred eighty-four thousand, eight hundred eight".