1513534440 has 128 divisors (see below), whose sum is σ = 5034856320. Its totient is φ = 360883200.

The previous prime is 1513534417. The next prime is 1513534441. The reversal of 1513534440 is 444353151.

It is a super-2 number, since 2×1513534440² = 4581573002132227200, which contains 22 as substring.

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 = 1513534398 and 1513534407.

It is not an unprimeable number, because it can be changed into a prime (1513534441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71122 + ... + 89918.

It is an arithmetic number, because the mean of its divisors is an integer number (39334815).

Almost surely, 2^1513534440 is an apocalyptic number.

1513534440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1513534440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517428160).

1513534440 is an abundant number, since it is smaller than the sum of its proper divisors (3521321880).

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

1513534440 is a wasteful number, since it uses less digits than its factorization.

1513534440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18883 (or 18879 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 1513534440 is about 38904.1699564455. The cubic root of 1513534440 is about 1148.1468426974.

Adding to 1513534440 its reverse (444353151), we get a palindrome (1957887591).

The spelling of 1513534440 in words is "one billion, five hundred thirteen million, five hundred thirty-four thousand, four hundred forty".