511112253120345 has 96 divisors (see below), whose sum is σ = 923661405418752. Its totient is φ = 261222766511616.

The previous prime is 511112253120341. The next prime is 511112253120401. The reversal of 511112253120345 is 543021352211115.

511112253120345 is a `hidden beast` number, since 5 + 1 + 1 + 112 + 2 + 531 + 2 + 0 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 511112253120345 - 2² = 511112253120341 is a prime.

It is a super-2 number, since 2×511112253120345² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (511112253120341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7145688972 + ... + 7145760498.

It is an arithmetic number, because the mean of its divisors is an integer number (9621472973112).

Almost surely, 2^{511112253120345} is an apocalyptic number.

It is an amenable number.

511112253120345 is a deficient number, since it is larger than the sum of its proper divisors (412549152298407).

511112253120345 is a wasteful number, since it uses less digits than its factorization.

511112253120345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141311 (or 141308 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 511112253120345 in words is "five hundred eleven trillion, one hundred twelve billion, two hundred fifty-three million, one hundred twenty thousand, three hundred forty-five".