1313645216 has 48 divisors (see below), whose sum is σ = 2949030504. Its totient is φ = 570630144.

The previous prime is 1313645197. The next prime is 1313645273. The reversal of 1313645216 is 6125463131.

It can be written as a sum of positive squares in 4 ways, for example, as 648211600 + 665433616 = 25460^2 + 25796^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85805 + ... + 99948.

Almost surely, 2^1313645216 is an apocalyptic number.

1313645216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1313645216 is an abundant number, since it is smaller than the sum of its proper divisors (1635385288).

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

1313645216 is a wasteful number, since it uses less digits than its factorization.

1313645216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185793 (or 185785 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 1313645216 is about 36244.2439016184. The cubic root of 1313645216 is about 1095.1981365497.

The spelling of 1313645216 in words is "one billion, three hundred thirteen million, six hundred forty-five thousand, two hundred sixteen".