35013825 has 144 divisors (see below), whose sum is σ = 81709056. Its totient is φ = 13910400.

The previous prime is 35013809. The next prime is 35013833. The reversal of 35013825 is 52831053.

It is not a de Polignac number, because 35013825 - 2⁴ = 35013809 is a prime.

It is a super-2 number, since 2×35013825² = 2451935882261250, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 744952 + ... + 744998.

It is an arithmetic number, because the mean of its divisors is an integer number (567424).

Almost surely, 2^35013825 is an apocalyptic number.

35013825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

35013825 is an abundant number, since it is smaller than the sum of its proper divisors (46695231).

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

35013825 is a wasteful number, since it uses less digits than its factorization.

35013825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 35013825 is about 5917.2480934975. The cubic root of 35013825 is about 327.1496943891.

Adding to 35013825 its reverse (52831053), we get a palindrome (87844878).

The spelling of 35013825 in words is "thirty-five million, thirteen thousand, eight hundred twenty-five".