513645000 has 240 divisors, whose sum is σ = 1769995920. Its totient is φ = 124080000.

The previous prime is 513644969. The next prime is 513645001. The reversal of 513645000 is 546315.

It is a super-3 number, since 3×513645000³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (513645001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1814859 + ... + 1815141.

It is an arithmetic number, because the mean of its divisors is an integer number (7374983).

Almost surely, 2^513645000 is an apocalyptic number.

513645000 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 513645000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884997960).

513645000 is an abundant number, since it is smaller than the sum of its proper divisors (1256350920).

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

513645000 is a wasteful number, since it uses less digits than its factorization.

513645000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 513645000 is about 22663.7375558402. The cubic root of 513645000 is about 800.8558548973.

The spelling of 513645000 in words is "five hundred thirteen million, six hundred forty-five thousand".