513553440 has 96 divisors (see below), whose sum is σ = 1669925376. Its totient is φ = 132526080.

The previous prime is 513553433. The next prime is 513553457. The reversal of 513553440 is 44355315.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 = 513553398 and 513553407.

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, 2377 + ... + 32136.

It is an arithmetic number, because the mean of its divisors is an integer number (17395056).

Almost surely, 2^513553440 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 513553440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834962688).

513553440 is an abundant number, since it is smaller than the sum of its proper divisors (1156371936).

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

513553440 is a wasteful number, since it uses less digits than its factorization.

513553440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34562 (or 34554 counting only the distinct ones).

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

The square root of 513553440 is about 22661.7174989011. The cubic root of 513553440 is about 800.8082664400.

The spelling of 513553440 in words is "five hundred thirteen million, five hundred fifty-three thousand, four hundred forty".