513484272 has 280 divisors, whose sum is σ = 1799864960. Its totient is φ = 138568320.

The previous prime is 513484267. The next prime is 513484289. The reversal of 513484272 is 272484315.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1551147 + ... + 1551477.

Almost surely, 2^513484272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513484272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899932480).

513484272 is an abundant number, since it is smaller than the sum of its proper divisors (1286380688).

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

513484272 is a wasteful number, since it uses less digits than its factorization.

513484272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 362 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 513484272 is about 22660.1913495893. The cubic root of 513484272 is about 800.7723125101.

The spelling of 513484272 in words is "five hundred thirteen million, four hundred eighty-four thousand, two hundred seventy-two".