35057253 has 32 divisors (see below), whose sum is σ = 59535360. Its totient is φ = 17818560.

The previous prime is 35057227. The next prime is 35057257. The reversal of 35057253 is 35275053.

It is not a de Polignac number, because 35057253 - 2¹⁴ = 35040869 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 35057253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35057257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9243 + ... + 12471.

It is an arithmetic number, because the mean of its divisors is an integer number (1860480).

Almost surely, 2^35057253 is an apocalyptic number.

35057253 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

35057253 is a deficient number, since it is larger than the sum of its proper divisors (24478107).

35057253 is a wasteful number, since it uses less digits than its factorization.

35057253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3297.

The product of its (nonzero) digits is 15750, while the sum is 30.

The square root of 35057253 is about 5920.9165675595. The cubic root of 35057253 is about 327.2848941955.

The spelling of 35057253 in words is "thirty-five million, fifty-seven thousand, two hundred fifty-three".