2513752626525 has 24 divisors (see below), whose sum is σ = 4749795440064. Its totient is φ = 1149144057600.

The previous prime is 2513752626521. The next prime is 2513752626533. The reversal of 2513752626525 is 5256262573152.

It is not a de Polignac number, because 2513752626525 - 2² = 2513752626521 is a prime.

It is a super-2 number, since 2×2513752626525² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513752626521) 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, 2394049596 + ... + 2394050645.

It is an arithmetic number, because the mean of its divisors is an integer number (197908143336).

Almost surely, 2^{2513752626525} is an apocalyptic number.

2513752626525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2513752626525 is a deficient number, since it is larger than the sum of its proper divisors (2236042813539).

2513752626525 is a wasteful number, since it uses less digits than its factorization.

2513752626525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4788100261 (or 4788100256 counting only the distinct ones).

The product of its digits is 7560000, while the sum is 51.

The spelling of 2513752626525 in words is "two trillion, five hundred thirteen billion, seven hundred fifty-two million, six hundred twenty-six thousand, five hundred twenty-five".