513527040 has 432 divisors, whose sum is σ = 1999915008. Its totient is φ = 125411328.

The previous prime is 513526969. The next prime is 513527051. The reversal of 513527040 is 40725315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×513527040² = 527420041622323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 513526995 and 513527013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4043457 + ... + 4043583.

Almost surely, 2^513527040 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 513527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999957504).

513527040 is an abundant number, since it is smaller than the sum of its proper divisors (1486387968).

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

513527040 is a wasteful number, since it uses less digits than its factorization.

513527040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 513527040 is about 22661.1350112919. The cubic root of 513527040 is about 800.7945439470.

The spelling of 513527040 in words is "five hundred thirteen million, five hundred twenty-seven thousand, forty".