513520 has 60 divisors (see below), whose sum is σ = 1399464. Its totient is φ = 174720.

The previous prime is 513511. The next prime is 513529. The reversal of 513520 is 25315.

It is an interprime number because it is at equal distance from previous prime (513511) and next prime (513529).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 513494 and 513503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513529) by changing a digit.

513520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3855 + ... + 3985.

2⁵¹³⁵²⁰ 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 513520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699732).

513520 is an abundant number, since it is smaller than the sum of its proper divisors (885944).

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

513520 is a wasteful number, since it uses less digits than its factorization.

513520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 513520 is about 716.6030979559. The cubic root of 513520 is about 80.0790884536.

Adding to 513520 its reverse (25315), we get a palindrome (538835).

It can be divided in two parts, 5 and 13520, that multiplied together give a square (67600 = 260²).

The spelling of 513520 in words is "five hundred thirteen thousand, five hundred twenty".