561261864313755 has 64 divisors (see below), whose sum is σ = 1090154619210240. Its totient is φ = 271715274230400.

The previous prime is 561261864313729. The next prime is 561261864313841. The reversal of 561261864313755 is 557313468162165.

561261864313755 is a `hidden beast` number, since 5 + 6 + 1 + 2 + 618 + 6 + 4 + 3 + 1 + 3 + 7 + 5 + 5 = 666.

It is not a de Polignac number, because 561261864313755 - 2⁹ = 561261864313243 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 561261864313692 and 561261864313701.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284914117 + ... + 286877286.

It is an arithmetic number, because the mean of its divisors is an integer number (17033665925160).

Almost surely, 2^{561261864313755} is an apocalyptic number.

561261864313755 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

561261864313755 is a deficient number, since it is larger than the sum of its proper divisors (528892754896485).

561261864313755 is a wasteful number, since it uses less digits than its factorization.

561261864313755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571792089 (or 571792083 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 561261864313755 in words is "five hundred sixty-one trillion, two hundred sixty-one billion, eight hundred sixty-four million, three hundred thirteen thousand, seven hundred fifty-five".