513535440 has 80 divisors (see below), whose sum is σ = 1736692416. Its totient is φ = 124492800.

The previous prime is 513535423. The next prime is 513535453. The reversal of 513535440 is 44535315.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 513535398 and 513535407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94621 + ... + 99900.

Almost surely, 2^513535440 is an apocalyptic number.

It is an amenable number.

513535440 is an abundant number, since it is smaller than the sum of its proper divisors (1223156976).

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

513535440 is a wasteful number, since it uses less digits than its factorization.

513535440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194548 (or 194542 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 513535440 is about 22661.3203498825. The cubic root of 513535440 is about 800.7989102458.

The spelling of 513535440 in words is "five hundred thirteen million, five hundred thirty-five thousand, four hundred forty".