35873496409 has 9 divisors (see below), whose sum is σ = 36876458367. Its totient is φ = 34897123944.

The previous prime is 35873496403. The next prime is 35873496427. The reversal of 35873496409 is 90469437853.

It is a happy number.

The square root of 35873496409 is 189403.

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., 32100097225 + 3773399184 = 179165^2 + 61428^2 .

It is not a de Polignac number, because 35873496409 - 2²⁹ = 35336625497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35873496403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7005352 + ... + 7010470.

It is an arithmetic number, because the mean of its divisors is an integer number (4097384263).

Almost surely, 2^35873496409 is an apocalyptic number.

35873496409 is the 189403-rd square number.

35873496409 is the 94702-nd centered octagonal number.

It is an amenable number.

35873496409 is a deficient number, since it is larger than the sum of its proper divisors (1002961958).

35873496409 is an frugal number, since it uses more digits than its factorization.

35873496409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10312 (or 5156 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 58.

The spelling of 35873496409 in words is "thirty-five billion, eight hundred seventy-three million, four hundred ninety-six thousand, four hundred nine".