1325836512 has 720 divisors, whose sum is σ = 5401840752. Its totient is φ = 313528320.

The previous prime is 1325836507. The next prime is 1325836517. The reversal of 1325836512 is 2156385231.

1325836512 is a `hidden beast` number, since 1 + 3 + 2 + 583 + 65 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (1325836507) and next prime (1325836517).

It is a super-2 number, since 2×1325836512² = 3515684913104652288, which contains 22 as substring.

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 (1325836517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18162108 + ... + 18162180.

Almost surely, 2^1325836512 is an apocalyptic number.

1325836512 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 1325836512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700920376).

1325836512 is an abundant number, since it is smaller than the sum of its proper divisors (4076004240).

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

1325836512 is a wasteful number, since it uses less digits than its factorization.

1325836512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 109 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 1325836512 is about 36412.0380094276. The cubic root of 1325836512 is about 1098.5757081226.

It can be divided in two parts, 13258 and 36512, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 1325836512 in words is "one billion, three hundred twenty-five million, eight hundred thirty-six thousand, five hundred twelve".