2505070071 has 120 divisors (see below), whose sum is σ = 4659944256. Its totient is φ = 1332495360.

The previous prime is 2505070063. The next prime is 2505070081. The reversal of 2505070071 is 1700705052.

It is not a de Polignac number, because 2505070071 - 2³ = 2505070063 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505070031) 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 119 ways as a sum of consecutive naturals, for example, 9243666 + ... + 9243936.

Almost surely, 2^2505070071 is an apocalyptic number.

2505070071 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2505070071 is a deficient number, since it is larger than the sum of its proper divisors (2154874185).

2505070071 is a wasteful number, since it uses less digits than its factorization.

2505070071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 2505070071 is about 50050.6750304129. The cubic root of 2505070071 is about 1358.1256747687.

The spelling of 2505070071 in words is "two billion, five hundred five million, seventy thousand, seventy-one".