338613429025 has 9 divisors (see below), whose sum is σ = 419884259833. Its totient is φ = 270888415600.

The previous prime is 338613428969. The next prime is 338613429041. The reversal of 338613429025 is 520924316833.

The square root of 338613429025 is 581905.

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

It can be written as a sum of positive squares in 4 ways, for example, as 103209915169 + 235403513856 = 321263^2 + 485184^2 .

It is not a de Polignac number, because 338613429025 - 2⁷ = 338613428897 is a prime.

It is a super-2 number, since 2×338613429025² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2851335 + ... + 2967715.

Almost surely, 2^338613429025 is an apocalyptic number.

338613429025 is the 581905-th square number.

338613429025 is the 290953-rd centered octagonal number.

It is an amenable number.

338613429025 is a deficient number, since it is larger than the sum of its proper divisors (81270830808).

338613429025 is an frugal number, since it uses more digits than its factorization.

338613429025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232772 (or 116386 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 46.

The spelling of 338613429025 in words is "three hundred thirty-eight billion, six hundred thirteen million, four hundred twenty-nine thousand, twenty-five".