1513005440 has 128 divisors (see below), whose sum is σ = 3896359200. Its totient is φ = 559710208.

The previous prime is 1513005433. The next prime is 1513005449. The reversal of 1513005440 is 445003151.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1513005440² = 4578370922939187200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1513005449) 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, 640742 + ... + 643098.

Almost surely, 2^1513005440 is an apocalyptic number.

1513005440 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 1513005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948179600).

1513005440 is an abundant number, since it is smaller than the sum of its proper divisors (2383353760).

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

1513005440 is a wasteful number, since it uses less digits than its factorization.

1513005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2452 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 1513005440 is about 38897.3706052221. The cubic root of 1513005440 is about 1148.0130630183.

Adding to 1513005440 its reverse (445003151), we get a palindrome (1958008591).

The spelling of 1513005440 in words is "one billion, five hundred thirteen million, five thousand, four hundred forty".