232802749515625 has 63 divisors (see below), whose sum is σ = 299167817224017. Its totient is φ = 181153698300000.

The previous prime is 232802749515601. The next prime is 232802749515667. The reversal of 232802749515625 is 526515947208232.

The square root of 232802749515625 is 15257875.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 232601450130729 + 201299384896 = 15251277^2 + 448664^2 .

It is a de Polignac number, because none of the positive numbers 2^k-232802749515625 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 70567670226 + ... + 70567673524.

It is a 1-persistent number, because it is pandigital, but 2⋅232802749515625 = 465605499031250 is not.

Almost surely, 2^{232802749515625} is an apocalyptic number.

232802749515625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

232802749515625 is the 15257875-th square number.

232802749515625 is the 7628938-th centered octagonal number.

It is an amenable number.

232802749515625 is a deficient number, since it is larger than the sum of its proper divisors (66365067708392).

232802749515625 is an frugal number, since it uses more digits than its factorization.

232802749515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6702 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 61.

The spelling of 232802749515625 in words is "two hundred thirty-two trillion, eight hundred two billion, seven hundred forty-nine million, five hundred fifteen thousand, six hundred twenty-five".