1352105000 has 40 divisors (see below), whose sum is σ = 3167993730. Its totient is φ = 540840000.

The previous prime is 1352104993. The next prime is 1352105087. The reversal of 1352105000 is 5012531.

It can be written as a sum of positive squares in 5 ways, for example, as 25542916 + 1326562084 = 5054^2 + 36422^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×1352105000⁴ (a number of 38 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1352105000.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 130211 + ... + 140210.

Almost surely, 2^1352105000 is an apocalyptic number.

1352105000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1352105000 is an abundant number, since it is smaller than the sum of its proper divisors (1815888730).

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

1352105000 is an equidigital number, since it uses as much as digits as its factorization.

1352105000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270447 (or 270428 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 1352105000 is about 36770.9804057493. The cubic root of 1352105000 is about 1105.7835873082.

Adding to 1352105000 its reverse (5012531), we get a palindrome (1357117531).

The spelling of 1352105000 in words is "one billion, three hundred fifty-two million, one hundred five thousand".