351600001 has 9 divisors (see below), whose sum is σ = 373837891. Its totient is φ = 330617632.

The previous prime is 351599999. The next prime is 351600013. The reversal of 351600001 is 100006153.

The square root of 351600001 is 18751.

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

It can be written as a sum of positive squares in only one way, i.e., 273737025 + 77862976 = 16545^2 + 8824^2 .

It is not a de Polignac number, because 351600001 - 2¹ = 351599999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (351609001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 318216 + ... + 319318.

Almost surely, 2^351600001 is an apocalyptic number.

351600001 is the 18751-st square number.

351600001 is the 9376-th centered octagonal number.

It is an amenable number.

351600001 is a deficient number, since it is larger than the sum of its proper divisors (22237890).

351600001 is an frugal number, since it uses more digits than its factorization.

351600001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The cubic root of 351600001 is about 705.8021157318.

Multiplying 351600001 by its sum of digits (16), we get a square (5625600016 = 75004²).

Adding to 351600001 its reverse (100006153), we get a palindrome (451606154).

The spelling of 351600001 in words is "three hundred fifty-one million, six hundred thousand, one".