2100572513 has 24 divisors (see below), whose sum is σ = 2417109240. Its totient is φ = 1814261760.

The previous prime is 2100572501. The next prime is 2100572521. The reversal of 2100572513 is 3152750012.

It can be written as a sum of positive squares in 12 ways, for example, as 295427344 + 1805145169 = 17188^2 + 42487^2 .

It is not a de Polignac number, because 2100572513 - 2¹⁰ = 2100571489 is a prime.

It is a super-2 number, since 2×2100572513² = 8824809764742270338, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2100572563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 678473 + ... + 681561.

It is an arithmetic number, because the mean of its divisors is an integer number (100712885).

Almost surely, 2^2100572513 is an apocalyptic number.

It is an amenable number.

2100572513 is a deficient number, since it is larger than the sum of its proper divisors (316536727).

2100572513 is a wasteful number, since it uses less digits than its factorization.

2100572513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3317 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 2100572513 is about 45832.0031528189. The cubic root of 2100572513 is about 1280.6955271470.

The spelling of 2100572513 in words is "two billion, one hundred million, five hundred seventy-two thousand, five hundred thirteen".