351900081 has 45 divisors (see below), whose sum is σ = 565941831. Its totient is φ = 210701088.

The previous prime is 351900079. The next prime is 351900091. The reversal of 351900081 is 180009153.

351900081 = T₃₂₈ + T₃₂₉ + ... + T₁₂₈₉.

The square root of 351900081 is 18759.

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

It can be written as a sum of positive squares in 7 ways, for example, as 282744225 + 69155856 = 16815^2 + 8316^2 .

It is not a de Polignac number, because 351900081 - 2¹ = 351900079 is a prime.

It is a super-2 number, since 2×351900081² = 247667334015613122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (351900001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9510795 + ... + 9510831.

Almost surely, 2^351900081 is an apocalyptic number.

351900081 is the 18759-th square number.

351900081 is the 9380-th centered octagonal number.

It is an amenable number.

351900081 is a deficient number, since it is larger than the sum of its proper divisors (214041750).

351900081 is an frugal number, since it uses more digits than its factorization.

351900081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The cubic root of 351900081 is about 706.0028522437.

The spelling of 351900081 in words is "three hundred fifty-one million, nine hundred thousand, eighty-one".