2153351125305 has 12 divisors (see below), whose sum is σ = 3732475283940. Its totient is φ = 1148453933472.

The previous prime is 2153351125249. The next prime is 2153351125363. The reversal of 2153351125305 is 5035211533512.

2153351125305 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 3 + 5 + 112 + 530 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 869727838464 + 1283623286841 = 932592^2 + 1132971^2 .

It is not a de Polignac number, because 2153351125305 - 2¹⁴ = 2153351108921 is a prime.

It is a super-2 number, since 2×2153351125305² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2153351125305.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23926123570 + ... + 23926123659.

It is an arithmetic number, because the mean of its divisors is an integer number (311039606995).

Almost surely, 2^{2153351125305} is an apocalyptic number.

It is an amenable number.

2153351125305 is a deficient number, since it is larger than the sum of its proper divisors (1579124158635).

2153351125305 is a wasteful number, since it uses less digits than its factorization.

2153351125305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47852247240 (or 47852247237 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

Adding to 2153351125305 its reverse (5035211533512), we get a palindrome (7188562658817).

The spelling of 2153351125305 in words is "two trillion, one hundred fifty-three billion, three hundred fifty-one million, one hundred twenty-five thousand, three hundred five".