2505456513 has 48 divisors (see below), whose sum is σ = 4187688960. Its totient is φ = 1413912672.

The previous prime is 2505456511. The next prime is 2505456521. The reversal of 2505456513 is 3156545052.

2505456513 is a `hidden beast` number, since 2 + 50 + 545 + 65 + 1 + 3 = 666.

It is not a de Polignac number, because 2505456513 - 2¹ = 2505456511 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2505456511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1952170 + ... + 1953452.

It is an arithmetic number, because the mean of its divisors is an integer number (87243520).

Almost surely, 2^2505456513 is an apocalyptic number.

It is an amenable number.

2505456513 is a deficient number, since it is larger than the sum of its proper divisors (1682232447).

2505456513 is a wasteful number, since it uses less digits than its factorization.

2505456513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 2505456513 is about 50054.5353889136. The cubic root of 2505456513 is about 1358.1955077876.

The spelling of 2505456513 in words is "two billion, five hundred five million, four hundred fifty-six thousand, five hundred thirteen".