261552403651627 has 64 divisors (see below), whose sum is σ = 295634109915648. Its totient is φ = 229389304320000.

The previous prime is 261552403651607. The next prime is 261552403651631. The reversal of 261552403651627 is 726156304255162.

261552403651627 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-261552403651627 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (261552403651607) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14520193273 + ... + 14520211285.

It is an arithmetic number, because the mean of its divisors is an integer number (4619282967432).

Almost surely, 2^{261552403651627} is an apocalyptic number.

261552403651627 is a deficient number, since it is larger than the sum of its proper divisors (34081706264021).

261552403651627 is a wasteful number, since it uses less digits than its factorization.

261552403651627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20300.

The product of its (nonzero) digits is 18144000, while the sum is 55.

The spelling of 261552403651627 in words is "two hundred sixty-one trillion, five hundred fifty-two billion, four hundred three million, six hundred fifty-one thousand, six hundred twenty-seven".