35125000 has 56 divisors (see below), whose sum is σ = 82616130. Its totient is φ = 14000000.

The previous prime is 35124931. The next prime is 35125031. The reversal of 35125000 is 52153.

35125000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 15570916 + 19554084 = 3946^2 + 4422^2 .

It is a sliding number, since 35125000 = 3125000 + 32000000 and 1/3125000 + 1/32000000 = 0.00000035125000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 124860 + ... + 125140.

Almost surely, 2^35125000 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 35125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41308065).

35125000 is an abundant number, since it is smaller than the sum of its proper divisors (47491130).

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

35125000 is an frugal number, since it uses more digits than its factorization.

35125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 35125000 is about 5926.6347955648. The cubic root of 35125000 is about 327.4955810060.

Adding to 35125000 its reverse (52153), we get a palindrome (35177153).

The spelling of 35125000 in words is "thirty-five million, one hundred twenty-five thousand".