513645 has 24 divisors (see below), whose sum is σ = 906528. Its totient is φ = 248160.

The previous prime is 513641. The next prime is 513649. The reversal of 513645 is 546315.

It is an interprime number because it is at equal distance from previous prime (513641) and next prime (513649).

It is not a de Polignac number, because 513645 - 2² = 513641 is a prime.

It is a super-3 number, since 3×513645³ = 406546708637433375, which contains 333 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513645.

It is not an unprimeable number, because it can be changed into a prime (513641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1674 + ... + 1956.

It is an arithmetic number, because the mean of its divisors is an integer number (37772).

2⁵¹³⁶⁴⁵ is an apocalyptic number.

513645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

513645 is a deficient number, since it is larger than the sum of its proper divisors (392883).

513645 is a wasteful number, since it uses less digits than its factorization.

513645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 302 counting only the distinct ones).

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

The square root of 513645 is about 716.6903096875. The cubic root of 513645 is about 80.0855854897.

The spelling of 513645 in words is "five hundred thirteen thousand, six hundred forty-five".