513213840 has 160 divisors (see below), whose sum is σ = 1801491840. Its totient is φ = 134244864.

The previous prime is 513213829. The next prime is 513213859. The reversal of 513213840 is 48312315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112239 + ... + 116721.

It is an arithmetic number, because the mean of its divisors is an integer number (11259324).

Almost surely, 2^513213840 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 513213840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900745920).

513213840 is an abundant number, since it is smaller than the sum of its proper divisors (1288278000).

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

513213840 is a wasteful number, since it uses less digits than its factorization.

513213840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4558 (or 4546 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 513213840 is about 22654.2234472956. The cubic root of 513213840 is about 800.6317093811.

The spelling of 513213840 in words is "five hundred thirteen million, two hundred thirteen thousand, eight hundred forty".