1513973760 has 384 divisors, whose sum is σ = 5547709440. Its totient is φ = 349175808.

The previous prime is 1513973759. The next prime is 1513973771. The reversal of 1513973760 is 673793151.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6789009 + ... + 6789231.

It is an arithmetic number, because the mean of its divisors is an integer number (14447160).

Almost surely, 2^1513973760 is an apocalyptic number.

1513973760 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 1513973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773854720).

1513973760 is an abundant number, since it is smaller than the sum of its proper divisors (4033735680).

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

1513973760 is a wasteful number, since it uses less digits than its factorization.

1513973760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 42.

The square root of 1513973760 is about 38909.8157281681. The cubic root of 1513973760 is about 1148.2579193628.

The spelling of 1513973760 in words is "one billion, five hundred thirteen million, nine hundred seventy-three thousand, seven hundred sixty".