1513329040 has 120 divisors (see below), whose sum is σ = 3701513088. Its totient is φ = 575285760.

The previous prime is 1513329031. The next prime is 1513329061. The reversal of 1513329040 is 409233151.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5584105 + ... + 5584375.

Almost surely, 2^1513329040 is an apocalyptic number.

1513329040 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 1513329040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850756544).

1513329040 is an abundant number, since it is smaller than the sum of its proper divisors (2188184048).

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

1513329040 is a wasteful number, since it uses less digits than its factorization.

1513329040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 1513329040 is about 38901.5300470303. The cubic root of 1513329040 is about 1148.0949024564.

The spelling of 1513329040 in words is "one billion, five hundred thirteen million, three hundred twenty-nine thousand, forty".