1321708752 has 300 divisors, whose sum is σ = 4795263396. Its totient is φ = 348364800.

The previous prime is 1321708721. The next prime is 1321708757. The reversal of 1321708752 is 2578071231.

It can be written as a sum of positive squares in 2 ways, for example, as 884229696 + 437479056 = 29736^2 + 20916^2 .

It is a super-4 number, since 4×1321708752⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321708757) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 824752 + ... + 826352.

Almost surely, 2^1321708752 is an apocalyptic number.

1321708752 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 1321708752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397631698).

1321708752 is an abundant number, since it is smaller than the sum of its proper divisors (3473554644).

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

1321708752 is a wasteful number, since it uses less digits than its factorization.

1321708752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1321708752 is about 36355.3125691418. The cubic root of 1321708752 is about 1097.4344485143.

Adding to 1321708752 its reverse (2578071231), we get a palindrome (3899779983).

The spelling of 1321708752 in words is "one billion, three hundred twenty-one million, seven hundred eight thousand, seven hundred fifty-two".