325193088528 has 800 divisors, whose sum is σ = 1289086064640. Its totient is φ = 76530769920.

The previous prime is 325193088487. The next prime is 325193088557. The reversal of 325193088528 is 825880391523.

325193088528 is a `hidden beast` number, since 3 + 2 + 5 + 1 + 9 + 30 + 88 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 43605376 + ... + 43612832.

Almost surely, 2^325193088528 is an apocalyptic number.

325193088528 is a gapful number since it is divisible by the number (38) 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 325193088528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644543032320).

325193088528 is an abundant number, since it is smaller than the sum of its proper divisors (963892976112).

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

325193088528 is a wasteful number, since it uses less digits than its factorization.

325193088528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7537 (or 7522 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 325193088528 in words is "three hundred twenty-five billion, one hundred ninety-three million, eighty-eight thousand, five hundred twenty-eight".