35113520 has 80 divisors (see below), whose sum is σ = 92598240. Its totient is φ = 12275712.

The previous prime is 35113513. The next prime is 35113523. The reversal of 35113520 is 2531153.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 35113492 and 35113501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35113523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18872 + ... + 20648.

It is an arithmetic number, because the mean of its divisors is an integer number (1157478).

Almost surely, 2^35113520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35113520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46299120).

35113520 is an abundant number, since it is smaller than the sum of its proper divisors (57484720).

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

35113520 is a wasteful number, since it uses less digits than its factorization.

35113520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 35113520 is about 5925.6662072716. Note that the first 3 decimals coincide. The cubic root of 35113520 is about 327.4598983589.

Adding to 35113520 its reverse (2531153), we get a palindrome (37644673).

The spelling of 35113520 in words is "thirty-five million, one hundred thirteen thousand, five hundred twenty".