35005342500 has 90 divisors (see below), whose sum is σ = 110571835374. Its totient is φ = 9334752000.

The previous prime is 35005342457. The next prime is 35005342501. The reversal of 35005342500 is 524350053.

It can be written as a sum of positive squares in 5 ways, for example, as 3181636836 + 31823705664 = 56406^2 + 178392^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is not an unprimeable number, because it can be changed into a prime (35005342501) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 755397 + ... + 800396.

Almost surely, 2^35005342500 is an apocalyptic number.

35005342500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35005342500 is an abundant number, since it is smaller than the sum of its proper divisors (75566492874).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35005342500 is a wasteful number, since it uses less digits than its factorization.

35005342500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555823 (or 1555803 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

Adding to 35005342500 its reverse (524350053), we get a palindrome (35529692553).

The spelling of 35005342500 in words is "thirty-five billion, five million, three hundred forty-two thousand, five hundred".