1309053312 has 320 divisors, whose sum is σ = 4718593440. Its totient is φ = 351682560.

The previous prime is 1309053311. The next prime is 1309053323. The reversal of 1309053312 is 2133509031.

It is a happy number.

1309053312 is a `hidden beast` number, since 1 + 30 + 90 + 533 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1309053311) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1233262 + ... + 1234322.

Almost surely, 2^1309053312 is an apocalyptic number.

1309053312 is a gapful number since it is divisible by the number (12) 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 1309053312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359296720).

1309053312 is an abundant number, since it is smaller than the sum of its proper divisors (3409540128).

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

1309053312 is a wasteful number, since it uses less digits than its factorization.

1309053312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 1309053312 is about 36180.8417812521. The cubic root of 1309053312 is about 1093.9205425192.

The spelling of 1309053312 in words is "one billion, three hundred nine million, fifty-three thousand, three hundred twelve".