2651618167641 has 135 divisors (see below), whose sum is σ = 4369774232109. Its totient is φ = 1602012287232.

The previous prime is 2651618167633. The next prime is 2651618167643. The reversal of 2651618167641 is 1467618161562.

The square root of 2651618167641 is 1628379.

It is a perfect power (a square), and thus also a powerful number.

2651618167641 is a `hidden beast` number, since 2 + 6 + 5 + 1 + 618 + 16 + 7 + 6 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 262108161225 + 2389510006416 = 511965^2 + 1545804^2 .

It is not a de Polignac number, because 2651618167641 - 2³ = 2651618167633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2651618167643) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7225117440 + ... + 7225117806.

Almost surely, 2^{2651618167641} is an apocalyptic number.

2651618167641 is the 1628379-th square number.

2651618167641 is the 814190-th centered octagonal number.

It is an amenable number.

2651618167641 is a deficient number, since it is larger than the sum of its proper divisors (1718156064468).

2651618167641 is an frugal number, since it uses more digits than its factorization.

2651618167641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 416 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 2651618167641 in words is "two trillion, six hundred fifty-one billion, six hundred eighteen million, one hundred sixty-seven thousand, six hundred forty-one".