2505643983 has 16 divisors (see below), whose sum is σ = 3727477600. Its totient is φ = 1663493760.

The previous prime is 2505643961. The next prime is 2505644003. The reversal of 2505643983 is 3893465052.

2505643983 is a `hidden beast` number, since 2 + 5 + 0 + 564 + 3 + 9 + 83 = 666.

It is not a de Polignac number, because 2505643983 - 2⁵ = 2505643951 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 (2505644983) 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, 186028 + ... + 199041.

It is an arithmetic number, because the mean of its divisors is an integer number (232967350).

Almost surely, 2^2505643983 is an apocalyptic number.

2505643983 is a deficient number, since it is larger than the sum of its proper divisors (1221833617).

2505643983 is a wasteful number, since it uses less digits than its factorization.

2505643983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385319 (or 385313 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 2505643983 is about 50056.4080113625. The cubic root of 2505643983 is about 1358.2293824608.

The spelling of 2505643983 in words is "two billion, five hundred five million, six hundred forty-three thousand, nine hundred eighty-three".