513240000 has 560 divisors, whose sum is σ = 2132917248. Its totient is φ = 105984000.

The previous prime is 513239983. The next prime is 513240001. The reversal of 513240000 is 42315.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513240001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10919977 + ... + 10920023.

Almost surely, 2^513240000 is an apocalyptic number.

513240000 is a gapful number since it is divisible by the number (50) 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 513240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066458624).

513240000 is an abundant number, since it is smaller than the sum of its proper divisors (1619677248).

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

513240000 is a wasteful number, since it uses less digits than its factorization.

513240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 513240000 is about 22654.8008157212. The cubic root of 513240000 is about 800.6453126578.

Adding to 513240000 its reverse (42315), we get a palindrome (513282315).

The spelling of 513240000 in words is "five hundred thirteen million, two hundred forty thousand".