253034307 has 32 divisors (see below), whose sum is σ = 409743360. Its totient is φ = 153636480.

The previous prime is 253034269. The next prime is 253034311. The reversal of 253034307 is 703430352.

It is not a de Polignac number, because 253034307 - 2⁷ = 253034179 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (253034347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5338 + ... + 23120.

It is an arithmetic number, because the mean of its divisors is an integer number (12804480).

Almost surely, 2^253034307 is an apocalyptic number.

253034307 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

253034307 is a deficient number, since it is larger than the sum of its proper divisors (156709053).

253034307 is a wasteful number, since it uses less digits than its factorization.

253034307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17840 (or 17834 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 253034307 is about 15907.0521153355. The cubic root of 253034307 is about 632.4989408763.

Adding to 253034307 its reverse (703430352), we get a palindrome (956464659).

The spelling of 253034307 in words is "two hundred fifty-three million, thirty-four thousand, three hundred seven".