23285135820953 has 16 divisors (see below), whose sum is σ = 23748735765456. Its totient is φ = 22822439627520.

The previous prime is 23285135820943. The next prime is 23285135820967. The reversal of 23285135820953 is 35902853158232.

It can be written as a sum of positive squares in 8 ways, for example, as 1269220800409 + 22015915020544 = 1126597^2 + 4692112^2 .

It is not a de Polignac number, because 23285135820953 - 2¹⁰ = 23285135819929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23285135820943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 579024875 + ... + 579065087.

It is an arithmetic number, because the mean of its divisors is an integer number (1484295985341).

Almost surely, 2^{23285135820953} is an apocalyptic number.

It is an amenable number.

23285135820953 is a deficient number, since it is larger than the sum of its proper divisors (463599944503).

23285135820953 is a wasteful number, since it uses less digits than its factorization.

23285135820953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51164.

The product of its (nonzero) digits is 15552000, while the sum is 56.

The spelling of 23285135820953 in words is "twenty-three trillion, two hundred eighty-five billion, one hundred thirty-five million, eight hundred twenty thousand, nine hundred fifty-three".