2164662513 has 48 divisors (see below), whose sum is σ = 3680441856. Its totient is φ = 1213263360.

The previous prime is 2164662509. The next prime is 2164662529. The reversal of 2164662513 is 3152664612.

2164662513 is a `hidden beast` number, since 2 + 1 + 646 + 6 + 2 + 5 + 1 + 3 = 666.

It is not a de Polignac number, because 2164662513 - 2² = 2164662509 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2164662583) 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, 44106 + ... + 79212.

It is an arithmetic number, because the mean of its divisors is an integer number (76675872).

Almost surely, 2^2164662513 is an apocalyptic number.

It is an amenable number.

2164662513 is a deficient number, since it is larger than the sum of its proper divisors (1515779343).

2164662513 is a wasteful number, since it uses less digits than its factorization.

2164662513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35174 (or 35171 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 2164662513 is about 46525.9337681685. The cubic root of 2164662513 is about 1293.5902455685.

The spelling of 2164662513 in words is "two billion, one hundred sixty-four million, six hundred sixty-two thousand, five hundred thirteen".