1325058480 has 320 divisors, whose sum is σ = 4874688000. Its totient is φ = 329868288.

The previous prime is 1325058479. The next prime is 1325058481. The reversal of 1325058480 is 848505231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1325058479) and next prime (1325058481).

It is a super-3 number, since 3×1325058480³ (a number of 28 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1325058481) 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 63 ways as a sum of consecutive naturals, for example, 3406126 + ... + 3406514.

It is an arithmetic number, because the mean of its divisors is an integer number (15233400).

Almost surely, 2^1325058480 is an apocalyptic number.

1325058480 is a gapful number since it is divisible by the number (10) 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 1325058480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437344000).

1325058480 is an abundant number, since it is smaller than the sum of its proper divisors (3549629520).

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

1325058480 is a wasteful number, since it uses less digits than its factorization.

1325058480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1325058480 is about 36401.3527221173. The cubic root of 1325058480 is about 1098.3607760669.

The spelling of 1325058480 in words is "one billion, three hundred twenty-five million, fifty-eight thousand, four hundred eighty".