2305345652053 has 64 divisors (see below), whose sum is σ = 2618269920000. Its totient is φ = 2020041676800.

The previous prime is 2305345652047. The next prime is 2305345652083. The reversal of 2305345652053 is 3502565435032.

It is a cyclic number.

It is not a de Polignac number, because 2305345652053 - 2²¹ = 2305343554901 is a prime.

It is a super-2 number, since 2×2305345652053² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2305345652003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1098305598 + ... + 1098307696.

It is an arithmetic number, because the mean of its divisors is an integer number (40910467500).

Almost surely, 2^{2305345652053} is an apocalyptic number.

It is an amenable number.

2305345652053 is a deficient number, since it is larger than the sum of its proper divisors (312924267947).

2305345652053 is a wasteful number, since it uses less digits than its factorization.

2305345652053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046.

The product of its (nonzero) digits is 1620000, while the sum is 43.

The spelling of 2305345652053 in words is "two trillion, three hundred five billion, three hundred forty-five million, six hundred fifty-two thousand, fifty-three".