2657505601 has 3 divisors (see below), whose sum is σ = 2657557153. Its totient is φ = 2657454050.

The previous prime is 2657505581. The next prime is 2657505667. The reversal of 2657505601 is 1065057562.

The square root of 2657505601 is 51551.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 1065057562 = 2 ⋅532528781.

It is not a de Polignac number, because 2657505601 - 2¹¹ = 2657503553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2657505691) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 25776 + ... + 77326.

Almost surely, 2^2657505601 is an apocalyptic number.

2657505601 is the 51551-st square number.

2657505601 is the 25776-th centered octagonal number.

It is an amenable number.

2657505601 is a deficient number, since it is larger than the sum of its proper divisors (51552).

2657505601 is an frugal number, since it uses more digits than its factorization.

2657505601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103102 (or 51551 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 37.

The cubic root of 2657505601 is about 1385.1327447305.

The spelling of 2657505601 in words is "two billion, six hundred fifty-seven million, five hundred five thousand, six hundred one".