261563335322463 has 32 divisors (see below), whose sum is σ = 400872007108800. Its totient is φ = 168358970304000.

The previous prime is 261563335322431. The next prime is 261563335322483. The reversal of 261563335322463 is 364223533365162.

261563335322463 is a `hidden beast` number, since 2 + 6 + 1 + 5 + 6 + 3 + 3 + 353 + 224 + 63 = 666.

It is not a de Polignac number, because 261563335322463 - 2⁵ = 261563335322431 is a prime.

It is a super-2 number, since 2×261563335322463² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261563335322483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32904403 + ... + 40072763.

It is an arithmetic number, because the mean of its divisors is an integer number (12527250222150).

Almost surely, 2^{261563335322463} is an apocalyptic number.

261563335322463 is a deficient number, since it is larger than the sum of its proper divisors (139308671786337).

261563335322463 is a wasteful number, since it uses less digits than its factorization.

261563335322463 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7215000 (or 7214994 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 54.

The spelling of 261563335322463 in words is "two hundred sixty-one trillion, five hundred sixty-three billion, three hundred thirty-five million, three hundred twenty-two thousand, four hundred sixty-three".