513536351440 has 80 divisors (see below), whose sum is σ = 1369849324032. Its totient is φ = 175384461312.

The previous prime is 513536351429. The next prime is 513536351443. The reversal of 513536351440 is 44153635315.

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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 513536351393 and 513536351402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513536351443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1640184 + ... + 1928023.

Almost surely, 2^513536351440 is an apocalyptic number.

It is an amenable number.

513536351440 is an abundant number, since it is smaller than the sum of its proper divisors (856312972592).

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

513536351440 is a wasteful number, since it uses less digits than its factorization.

513536351440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3568484 (or 3568478 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 40.

Adding to 513536351440 its reverse (44153635315), we get a palindrome (557689986755).

The spelling of 513536351440 in words is "five hundred thirteen billion, five hundred thirty-six million, three hundred fifty-one thousand, four hundred forty".