1513400960 has 128 divisors (see below), whose sum is σ = 3797398800. Its totient is φ = 575963136.

The previous prime is 1513400957. The next prime is 1513400969. The reversal of 1513400960 is 690043151.

It can be written as a sum of positive squares in 8 ways, for example, as 315133504 + 1198267456 = 17752^2 + 34616^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (1513400969) 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, 1354322 + ... + 1355438.

Almost surely, 2^1513400960 is an apocalyptic number.

1513400960 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 1513400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898699400).

1513400960 is an abundant number, since it is smaller than the sum of its proper divisors (2283997840).

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

1513400960 is a wasteful number, since it uses less digits than its factorization.

1513400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 1513400960 is about 38902.4544212830. The cubic root of 1513400960 is about 1148.1130896616.

The spelling of 1513400960 in words is "one billion, five hundred thirteen million, four hundred thousand, nine hundred sixty".