1325315264 has 56 divisors (see below), whose sum is σ = 3236841888. Its totient is φ = 524298240.

The previous prime is 1325315261. The next prime is 1325315267. The reversal of 1325315264 is 4625135231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1325315261) and next prime (1325315267).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1325315264.

It is not an unprimeable number, because it can be changed into a prime (1325315261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107957 + ... + 119604.

It is an arithmetic number, because the mean of its divisors is an integer number (57800748).

Almost surely, 2^1325315264 is an apocalyptic number.

1325315264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1325315264 is an abundant number, since it is smaller than the sum of its proper divisors (1911526624).

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

1325315264 is a wasteful number, since it uses less digits than its factorization.

1325315264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227593 (or 227583 counting only the distinct ones).

The product of its digits is 21600, while the sum is 32.

The square root of 1325315264 is about 36404.8796729230. The cubic root of 1325315264 is about 1098.4317221825.

The spelling of 1325315264 in words is "one billion, three hundred twenty-five million, three hundred fifteen thousand, two hundred sixty-four".