253005002505 has 24 divisors (see below), whose sum is σ = 441168017472. Its totient is φ = 134127997344.

The previous prime is 253005002429. The next prime is 253005002513. The reversal of 253005002505 is 505200500352.

It is not a de Polignac number, because 253005002505 - 2⁹ = 253005001993 is a prime.

It is a super-3 number, since 3×253005002505³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16825819 + ... + 16840848.

It is an arithmetic number, because the mean of its divisors is an integer number (18382000728).

Almost surely, 2^253005002505 is an apocalyptic number.

It is an amenable number.

253005002505 is a deficient number, since it is larger than the sum of its proper divisors (188163014967).

253005002505 is a wasteful number, since it uses less digits than its factorization.

253005002505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33666845 (or 33666842 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

Adding to 253005002505 its reverse (505200500352), we get a palindrome (758205502857).

The spelling of 253005002505 in words is "two hundred fifty-three billion, five million, two thousand, five hundred five".