513675260 has 96 divisors (see below), whose sum is σ = 1342656000. Its totient is φ = 161070336.

The previous prime is 513675257. The next prime is 513675263. The reversal of 513675260 is 62576315.

It is an interprime number because it is at equal distance from previous prime (513675257) and next prime (513675263).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 513675260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513675263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73811 + ... + 80469.

It is an arithmetic number, because the mean of its divisors is an integer number (13986000).

Almost surely, 2^513675260 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 513675260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671328000).

513675260 is an abundant number, since it is smaller than the sum of its proper divisors (828980740).

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

513675260 is a wasteful number, since it uses less digits than its factorization.

513675260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6723 (or 6721 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 513675260 is about 22664.4051322774. The cubic root of 513675260 is about 800.8715813376.

The spelling of 513675260 in words is "five hundred thirteen million, six hundred seventy-five thousand, two hundred sixty".