513046872 has 224 divisors, whose sum is σ = 1592020080. Its totient is φ = 153964800.

The previous prime is 513046861. The next prime is 513046907. The reversal of 513046872 is 278640315.

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, 5079622 + ... + 5079722.

Almost surely, 2^513046872 is an apocalyptic number.

513046872 is a gapful number since it is divisible by the number (52) 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 513046872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796010040).

513046872 is an abundant number, since it is smaller than the sum of its proper divisors (1078973208).

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

513046872 is a wasteful number, since it uses less digits than its factorization.

513046872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 513046872 is about 22650.5380068554. The cubic root of 513046872 is about 800.5448746386.

The spelling of 513046872 in words is "five hundred thirteen million, forty-six thousand, eight hundred seventy-two".