513366420 has 96 divisors (see below), whose sum is σ = 1658861568. Its totient is φ = 116191872.

The previous prime is 513366409. The next prime is 513366421. The reversal of 513366420 is 24663315.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513366421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37327 + ... + 49193.

It is an arithmetic number, because the mean of its divisors is an integer number (17279808).

Almost surely, 2^513366420 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 513366420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829430784).

513366420 is an abundant number, since it is smaller than the sum of its proper divisors (1145495148).

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

513366420 is a wasteful number, since it uses less digits than its factorization.

513366420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11989 (or 11987 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 513366420 is about 22657.5907810164. The cubic root of 513366420 is about 800.7110449150.

The spelling of 513366420 in words is "five hundred thirteen million, three hundred sixty-six thousand, four hundred twenty".