1513088640 has 384 divisors, whose sum is σ = 6237259200. Its totient is φ = 345655296.

The previous prime is 1513088627. The next prime is 1513088651. The reversal of 1513088640 is 468803151.

1513088640 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 0 + 8 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1513088595 and 1513088604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 845827 + ... + 847613.

Almost surely, 2^1513088640 is an apocalyptic number.

1513088640 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 1513088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118629600).

1513088640 is an abundant number, since it is smaller than the sum of its proper divisors (4724170560).

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

1513088640 is a wasteful number, since it uses less digits than its factorization.

1513088640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1513088640 is about 38898.4400715504. The cubic root of 1513088640 is about 1148.0341056693.

The spelling of 1513088640 in words is "one billion, five hundred thirteen million, eighty-eight thousand, six hundred forty".