1513188946900 has 18 divisors (see below), whose sum is σ = 3283620014990. Its totient is φ = 605275578720.

The previous prime is 1513188946817. The next prime is 1513188946901. The reversal of 1513188946900 is 96498813151.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 439192496656 + 1073996450244 = 662716^2 + 1036338^2 .

It is a super-2 number, since 2×1513188946900² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1513188946901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7565944635 + ... + 7565944834.

Almost surely, 2^{1513188946900} is an apocalyptic number.

1513188946900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1513188946900 is an abundant number, since it is smaller than the sum of its proper divisors (1770431068090).

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

1513188946900 is a wasteful number, since it uses less digits than its factorization.

1513188946900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15131889483 (or 15131889476 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 55.

The spelling of 1513188946900 in words is "one trillion, five hundred thirteen billion, one hundred eighty-eight million, nine hundred forty-six thousand, nine hundred".