325257120 has 120 divisors (see below), whose sum is σ = 1147932324. Its totient is φ = 86731776.

The previous prime is 325257113. The next prime is 325257139. The reversal of 325257120 is 21752523.

It can be written as a sum of positive squares in 2 ways, for example, as 314991504 + 10265616 = 17748^2 + 3204^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×325257120² = 211584388221388800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 412 + ... + 25508.

Almost surely, 2^325257120 is an apocalyptic number.

325257120 is a gapful number since it is divisible by the number (30) 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 325257120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573966162).

325257120 is an abundant number, since it is smaller than the sum of its proper divisors (822675204).

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

325257120 is a wasteful number, since it uses less digits than its factorization.

325257120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25124 (or 25107 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 325257120 is about 18034.8861931535. The cubic root of 325257120 is about 687.7156973885.

The spelling of 325257120 in words is "three hundred twenty-five million, two hundred fifty-seven thousand, one hundred twenty".