2513500205211 has 40 divisors (see below), whose sum is σ = 3930445145088. Its totient is φ = 1598773302000.

The previous prime is 2513500205141. The next prime is 2513500205213. The reversal of 2513500205211 is 1125020053152.

2513500205211 is a `hidden beast` number, since 2 + 5 + 135 + 0 + 0 + 2 + 0 + 521 + 1 = 666.

It is not a de Polignac number, because 2513500205211 - 2¹⁴ = 2513500188827 is a prime.

It is a super-2 number, since 2×2513500205211² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2513500205213) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6870985 + ... + 7227546.

Almost surely, 2^{2513500205211} is an apocalyptic number.

2513500205211 is a deficient number, since it is larger than the sum of its proper divisors (1416944939877).

2513500205211 is a wasteful number, since it uses less digits than its factorization.

2513500205211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14098645 (or 14098636 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 2513500205211 its reverse (1125020053152), we get a palindrome (3638520258363).

The spelling of 2513500205211 in words is "two trillion, five hundred thirteen billion, five hundred million, two hundred five thousand, two hundred eleven".