561313036121145 has 288 divisors, whose sum is σ = 1161850571884800. Its totient is φ = 230530994749440.

The previous prime is 561313036121141. The next prime is 561313036121183. The reversal of 561313036121145 is 541121630313165.

It is not a de Polignac number, because 561313036121145 - 2² = 561313036121141 is a prime.

It is a super-4 number, since 4×561313036121145⁴ (a number of 60 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 561313036121097 and 561313036121106.

It is not an unprimeable number, because it can be changed into a prime (561313036121141) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15964971076 + ... + 15965006234.

It is an arithmetic number, because the mean of its divisors is an integer number (4034203374600).

Almost surely, 2^{561313036121145} is an apocalyptic number.

561313036121145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

561313036121145 is an abundant number, since it is smaller than the sum of its proper divisors (600537535763655).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

561313036121145 is a wasteful number, since it uses less digits than its factorization.

561313036121145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37309 (or 37291 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 561313036121145 in words is "five hundred sixty-one trillion, three hundred thirteen billion, thirty-six million, one hundred twenty-one thousand, one hundred forty-five".