2153664010251 has 28 divisors (see below), whose sum is σ = 3477404962528. Its totient is φ = 1325331692784.

The previous prime is 2153664010243. The next prime is 2153664010297. The reversal of 2153664010251 is 1520104663512.

2153664010251 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 6 + 640 + 1 + 0 + 2 + 5 + 1 = 666.

It is not a de Polignac number, because 2153664010251 - 2³ = 2153664010243 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2153664010051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 113616355 + ... + 113635308.

It is an arithmetic number, because the mean of its divisors is an integer number (124193034376).

Almost surely, 2^{2153664010251} is an apocalyptic number.

2153664010251 is a deficient number, since it is larger than the sum of its proper divisors (1323740952277).

2153664010251 is an equidigital number, since it uses as much as digits as its factorization.

2153664010251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227251694 (or 227251679 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 2153664010251 its reverse (1520104663512), we get a palindrome (3673768673763).

The spelling of 2153664010251 in words is "two trillion, one hundred fifty-three billion, six hundred sixty-four million, ten thousand, two hundred fifty-one".