35013504 has 64 divisors (see below), whose sum is σ = 97920000. Its totient is φ = 11054592.

The previous prime is 35013499. The next prime is 35013509. The reversal of 35013504 is 40531053.

It is an interprime number because it is at equal distance from previous prime (35013499) and next prime (35013509).

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35013509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4897 + ... + 9695.

It is an arithmetic number, because the mean of its divisors is an integer number (1530000).

Almost surely, 2^35013504 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 35013504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48960000).

35013504 is an abundant number, since it is smaller than the sum of its proper divisors (62906496).

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

35013504 is a wasteful number, since it uses less digits than its factorization.

35013504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4835 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 35013504 is about 5917.2209693403. The cubic root of 35013504 is about 327.1486946376.

Adding to 35013504 its reverse (40531053), we get a palindrome (75544557).

The spelling of 35013504 in words is "thirty-five million, thirteen thousand, five hundred four".