2113502456521 has 9 divisors (see below), whose sum is σ = 2245165541749. Its totient is φ = 1989155521984.

The previous prime is 2113502456509. The next prime is 2113502456551. The reversal of 2113502456521 is 1256542053112.

The square root of 2113502456521 is 1453789.

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

It can be written as a sum of positive squares in 4 ways, for example, as 795644376121 + 1317858080400 = 891989^2 + 1147980^2 .

It is not a de Polignac number, because 2113502456521 - 2⁵ = 2113502456489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2113502456551) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24671655 + ... + 24757171.

Almost surely, 2^{2113502456521} is an apocalyptic number.

2113502456521 is the 1453789-th square number.

2113502456521 is the 726895-th centered octagonal number.

It is an amenable number.

2113502456521 is a deficient number, since it is larger than the sum of its proper divisors (131663085228).

2113502456521 is an frugal number, since it uses more digits than its factorization.

2113502456521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171068 (or 85534 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 2113502456521 in words is "two trillion, one hundred thirteen billion, five hundred two million, four hundred fifty-six thousand, five hundred twenty-one".