1314056520 has 576 divisors, whose sum is σ = 5377881600. Its totient is φ = 287400960.

The previous prime is 1314056483. The next prime is 1314056537. The reversal of 1314056520 is 256504131.

1314056520 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 5 + 652 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14764636 + ... + 14764724.

It is an arithmetic number, because the mean of its divisors is an integer number (9336600).

Almost surely, 2^1314056520 is an apocalyptic number.

1314056520 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 1314056520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688940800).

1314056520 is an abundant number, since it is smaller than the sum of its proper divisors (4063825080).

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

1314056520 is a wasteful number, since it uses less digits than its factorization.

1314056520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1314056520 is about 36249.9175171475. The cubic root of 1314056520 is about 1095.3124272688.

The spelling of 1314056520 in words is "one billion, three hundred fourteen million, fifty-six thousand, five hundred twenty".