2661528101 has 8 divisors (see below), whose sum is σ = 2689403640. Its totient is φ = 2633715648.

The previous prime is 2661528073. The next prime is 2661528169. The reversal of 2661528101 is 1018251662.

2661528101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 51590²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1290677476 + 1370850625 = 35926^2 + 37025^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2661528101 - 2¹⁴ = 2661511717 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 (2661527101) 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, 71555 + ... + 102191.

It is an arithmetic number, because the mean of its divisors is an integer number (336175455).

Almost surely, 2^2661528101 is an apocalyptic number.

It is an amenable number.

2661528101 is a deficient number, since it is larger than the sum of its proper divisors (27875539).

2661528101 is a wasteful number, since it uses less digits than its factorization.

2661528101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31543.

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 2661528101 is about 51590.0000096918. Note that the first 5 decimals coincide. The cubic root of 2661528101 is about 1385.8312553500.

Adding to 2661528101 its reverse (1018251662), we get a palindrome (3679779763).

The spelling of 2661528101 in words is "two billion, six hundred sixty-one million, five hundred twenty-eight thousand, one hundred one".