35212147201 has 27 divisors (see below), whose sum is σ = 45041806467. Its totient is φ = 27426777840.

The previous prime is 35212147163. The next prime is 35212147207. The reversal of 35212147201 is 10274121253.

The square root of 35212147201 is 187649.

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., 33162231025 + 2049916176 = 182105^2 + 45276^2 .

It is not a de Polignac number, because 35212147201 - 2¹¹ = 35212145153 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 35212147201.

It is not an unprimeable number, because it can be changed into a prime (35212147207) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14447755 + ... + 14450191.

Almost surely, 2^35212147201 is an apocalyptic number.

35212147201 is the 187649-th square number.

35212147201 is the 93825-th centered octagonal number.

It is an amenable number.

35212147201 is a deficient number, since it is larger than the sum of its proper divisors (9829659266).

35212147201 is an frugal number, since it uses more digits than its factorization.

35212147201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4910 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

Adding to 35212147201 its reverse (10274121253), we get a palindrome (45486268454).

The spelling of 35212147201 in words is "thirty-five billion, two hundred twelve million, one hundred forty-seven thousand, two hundred one".