23101541504253 has 192 divisors, whose sum is σ = 38493052416000. Its totient is φ = 13270394446848.

The previous prime is 23101541504191. The next prime is 23101541504281. The reversal of 23101541504253 is 35240514510132.

23101541504253 is a `hidden beast` number, since 2 + 3 + 10 + 1 + 541 + 50 + 4 + 2 + 53 = 666.

It is not a de Polignac number, because 23101541504253 - 2²⁹ = 23101004633341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23101541504753) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6985647426 + ... + 6985650732.

It is an arithmetic number, because the mean of its divisors is an integer number (200484648000).

Almost surely, 2^{23101541504253} is an apocalyptic number.

23101541504253 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

23101541504253 is a deficient number, since it is larger than the sum of its proper divisors (15391510911747).

23101541504253 is a wasteful number, since it uses less digits than its factorization.

23101541504253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 23101541504253 in words is "twenty-three trillion, one hundred one billion, five hundred forty-one million, five hundred four thousand, two hundred fifty-three".