2505465413 has 16 divisors (see below), whose sum is σ = 2750880960. Its totient is φ = 2263036800.

The previous prime is 2505465401. The next prime is 2505465427. The reversal of 2505465413 is 3145645052.

2505465413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2505465413 - 2²⁶ = 2438356549 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505467413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1916306 + ... + 1917612.

It is an arithmetic number, because the mean of its divisors is an integer number (171930060).

Almost surely, 2^2505465413 is an apocalyptic number.

It is an amenable number.

2505465413 is a deficient number, since it is larger than the sum of its proper divisors (245415547).

2505465413 is a wasteful number, since it uses less digits than its factorization.

2505465413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308.

The product of its (nonzero) digits is 72000, while the sum is 35.

The square root of 2505465413 is about 50054.6242918674. The cubic root of 2505465413 is about 1358.1971160009.

The spelling of 2505465413 in words is "two billion, five hundred five million, four hundred sixty-five thousand, four hundred thirteen".