1352413314 has 64 divisors (see below), whose sum is σ = 3454721280. Its totient is φ = 384151680.

The previous prime is 1352413313. The next prime is 1352413319. The reversal of 1352413314 is 4133142531.

It is a happy number.

1352413314 is a `hidden beast` number, since 1 + 3 + 524 + 133 + 1 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1352413313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55054 + ... + 75734.

It is an arithmetic number, because the mean of its divisors is an integer number (53980020).

Almost surely, 2^1352413314 is an apocalyptic number.

1352413314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1352413314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727360640).

1352413314 is an abundant number, since it is smaller than the sum of its proper divisors (2102307966).

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

1352413314 is a wasteful number, since it uses less digits than its factorization.

1352413314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20872 (or 20866 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 1352413314 is about 36775.1725216891. The cubic root of 1352413314 is about 1105.8676297582.

Adding to 1352413314 its reverse (4133142531), we get a palindrome (5485555845).

The spelling of 1352413314 in words is "one billion, three hundred fifty-two million, four hundred thirteen thousand, three hundred fourteen".