331069487949225 has 27 divisors (see below), whose sum is σ = 592982727263589. Its totient is φ = 176570248010400.

The previous prime is 331069487949203. The next prime is 331069487949283. The reversal of 331069487949225 is 522949784960133.

The square root of 331069487949225 is 18195315.

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

331069487949225 is a `hidden beast` number, since 3 + 3 + 1 + 0 + 6 + 9 + 48 + 79 + 492 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8931317537961 + 322138170411264 = 2988531^2 + 17948208^2 .

It is a de Polignac number, because none of the positive numbers 2^k-331069487949225 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 272323215 + ... + 273536235.

It is a 2-persistent number, because it is pandigital, and so is 2⋅331069487949225 = 662138975898450, but 3⋅331069487949225 = 993208463847675 is not.

Almost surely, 2^{331069487949225} is an apocalyptic number.

331069487949225 is the 18195315-th square number.

331069487949225 is the 9097658-th centered octagonal number.

It is an amenable number.

331069487949225 is a deficient number, since it is larger than the sum of its proper divisors (261913239314364).

331069487949225 is an frugal number, since it uses more digits than its factorization.

331069487949225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426058 (or 1213029 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 331069487949225 in words is "three hundred thirty-one trillion, sixty-nine billion, four hundred eighty-seven million, nine hundred forty-nine thousand, two hundred twenty-five".