2682100521 has 27 divisors (see below), whose sum is σ = 3952663767. Its totient is φ = 1752539760.

The previous prime is 2682100507. The next prime is 2682100559. The reversal of 2682100521 is 1250012862.

It is a happy number.

The square root of 2682100521 is 51789.

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

It can be written as a sum of positive squares in only one way, i.e., 87216921 + 2594883600 = 9339^2 + 50940^2 .

It is not a de Polignac number, because 2682100521 - 2⁹ = 2682100009 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2682100621) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9477246 + ... + 9477528.

Almost surely, 2^2682100521 is an apocalyptic number.

2682100521 is the 51789-th square number.

2682100521 is the 25895-th centered octagonal number.

It is an amenable number.

2682100521 is a deficient number, since it is larger than the sum of its proper divisors (1270563246).

2682100521 is an frugal number, since it uses more digits than its factorization.

2682100521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The cubic root of 2682100521 is about 1389.3927131686.

The spelling of 2682100521 in words is "two billion, six hundred eighty-two million, one hundred thousand, five hundred twenty-one".