1513641360 has 240 divisors, whose sum is σ = 5955100992. Its totient is φ = 314496000.

The previous prime is 1513641347. The next prime is 1513641361. The reversal of 1513641360 is 631463151.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1513641360² = 4582220333405299200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1513641361) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 123510 + ... + 135210.

Almost surely, 2^1513641360 is an apocalyptic number.

1513641360 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 1513641360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977550496).

1513641360 is an abundant number, since it is smaller than the sum of its proper divisors (4441459632).

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

1513641360 is a wasteful number, since it uses less digits than its factorization.

1513641360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11742 (or 11729 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1513641360 is about 38905.5440779332. The cubic root of 1513641360 is about 1148.1738780848.

The spelling of 1513641360 in words is "one billion, five hundred thirteen million, six hundred forty-one thousand, three hundred sixty".