1325257000 has 64 divisors (see below), whose sum is σ = 3113510400. Its totient is φ = 527982400.

The previous prime is 1325256967. The next prime is 1325257007. The reversal of 1325257000 is 7525231.

It is a super-2 number, since 2×1325257000² = 3512612232098000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1325257007) 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 15 ways as a sum of consecutive naturals, for example, 260481 + ... + 265519.

It is an arithmetic number, because the mean of its divisors is an integer number (48648600).

Almost surely, 2^1325257000 is an apocalyptic number.

1325257000 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 1325257000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556755200).

1325257000 is an abundant number, since it is smaller than the sum of its proper divisors (1788253400).

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

1325257000 is a wasteful number, since it uses less digits than its factorization.

1325257000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5323 (or 5309 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 1325257000 is about 36404.0794417329. The cubic root of 1325257000 is about 1098.4156253927.

The spelling of 1325257000 in words is "one billion, three hundred twenty-five million, two hundred fifty-seven thousand".