1513550001600 has 4032 divisors, whose sum is σ = 7528078172160. Its totient is φ = 279488102400.

The previous prime is 1513550001599. The next prime is 1513550001641. The reversal of 1513550001600 is 61000553151.

1513550001600 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 5 + 50 + 0 + 0 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 28557547174 + ... + 28557547226.

It is an arithmetic number, because the mean of its divisors is an integer number (1867082880).

Almost surely, 2^{1513550001600} is an apocalyptic number.

1513550001600 is a gapful number since it is divisible by the number (10) 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 1513550001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764039086080).

1513550001600 is an abundant number, since it is smaller than the sum of its proper divisors (6014528170560).

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

1513550001600 is a wasteful number, since it uses less digits than its factorization.

1513550001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

Adding to 1513550001600 its reverse (61000553151), we get a palindrome (1574550554751).

The spelling of 1513550001600 in words is "one trillion, five hundred thirteen billion, five hundred fifty million, one thousand, six hundred".