2661256505527 has 8 divisors (see below), whose sum is σ = 2717972528832. Its totient is φ = 2604544380000.

The previous prime is 2661256505497. The next prime is 2661256505563. The reversal of 2661256505527 is 7255056521662.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2661256505527 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2661256505927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426877 + ... + 2346217.

It is an arithmetic number, because the mean of its divisors is an integer number (339746566104).

Almost surely, 2^{2661256505527} is an apocalyptic number.

2661256505527 is a deficient number, since it is larger than the sum of its proper divisors (56716023305).

2661256505527 is a wasteful number, since it uses less digits than its factorization.

2661256505527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948889.

The product of its (nonzero) digits is 7560000, while the sum is 52.

The spelling of 2661256505527 in words is "two trillion, six hundred sixty-one billion, two hundred fifty-six million, five hundred five thousand, five hundred twenty-seven".