513191484 has 144 divisors (see below), whose sum is σ = 1488829440. Its totient is φ = 152642880.

The previous prime is 513191447. The next prime is 513191489. The reversal of 513191484 is 484191315.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513191489) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 565359 + ... + 566265.

Almost surely, 2^513191484 is an apocalyptic number.

513191484 is a gapful number since it is divisible by the number (54) 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 513191484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744414720).

513191484 is an abundant number, since it is smaller than the sum of its proper divisors (975637956).

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

513191484 is a wasteful number, since it uses less digits than its factorization.

513191484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 956 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 513191484 is about 22653.7300239938. The cubic root of 513191484 is about 800.6200838292.

The spelling of 513191484 in words is "five hundred thirteen million, one hundred ninety-one thousand, four hundred eighty-four".