261553251266627 has 16 divisors (see below), whose sum is σ = 262464511938720. Its totient is φ = 260643456460800.

The previous prime is 261553251266621. The next prime is 261553251266687. The reversal of 261553251266627 is 726662152355162.

It is a cyclic number.

It is not a de Polignac number, because 261553251266627 - 2¹² = 261553251262531 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (261553251266621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2557851833 + ... + 2557954085.

It is an arithmetic number, because the mean of its divisors is an integer number (16404031996170).

Almost surely, 2^{261553251266627} is an apocalyptic number.

261553251266627 is a deficient number, since it is larger than the sum of its proper divisors (911260672093).

261553251266627 is a wasteful number, since it uses less digits than its factorization.

261553251266627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109334.

The product of its digits is 54432000, while the sum is 59.

The spelling of 261553251266627 in words is "two hundred sixty-one trillion, five hundred fifty-three billion, two hundred fifty-one million, two hundred sixty-six thousand, six hundred twenty-seven".