35287998201 has 9 divisors (see below), whose sum is σ = 50972366991. Its totient is φ = 23524956432.

The previous prime is 35287998199. The next prime is 35287998209. The reversal of 35287998201 is 10289978253.

The square root of 35287998201 is 187851.

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

35287998201 is a `hidden beast` number, since 3 + 528 + 7 + 9 + 98 + 20 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 700925625 + 34587072576 = 26475^2 + 185976^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 35287998201 - 2¹ = 35287998199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (35287998209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 532245 + ... + 594861.

Almost surely, 2^35287998201 is an apocalyptic number.

35287998201 is the 187851-st square number.

35287998201 is the 93926-th centered octagonal number.

It is an amenable number.

35287998201 is a deficient number, since it is larger than the sum of its proper divisors (15684368790).

35287998201 is an frugal number, since it uses more digits than its factorization.

35287998201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125240 (or 62620 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 35287998201 in words is "thirty-five billion, two hundred eighty-seven million, nine hundred ninety-eight thousand, two hundred one".