2657565201661 has 16 divisors (see below), whose sum is σ = 2887841036800. Its totient is φ = 2436338995200.

The previous prime is 2657565201619. The next prime is 2657565201757. The reversal of 2657565201661 is 1661025657562.

It is a cyclic number.

It is not a de Polignac number, because 2657565201661 - 2³¹ = 2655417718013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2657565201599 and 2657565201608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2657565201061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11077621 + ... + 11314981.

It is an arithmetic number, because the mean of its divisors is an integer number (180490064800).

Almost surely, 2^{2657565201661} is an apocalyptic number.

It is an amenable number.

2657565201661 is a deficient number, since it is larger than the sum of its proper divisors (230275835139).

2657565201661 is a wasteful number, since it uses less digits than its factorization.

2657565201661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256420.

The product of its (nonzero) digits is 4536000, while the sum is 52.

The spelling of 2657565201661 in words is "two trillion, six hundred fifty-seven billion, five hundred sixty-five million, two hundred one thousand, six hundred sixty-one".