2563511253 has 24 divisors (see below), whose sum is σ = 3599100960. Its totient is φ = 1622802720.

The previous prime is 2563511149. The next prime is 2563511267. The reversal of 2563511253 is 3521153652.

It is a happy number.

It is not a de Polignac number, because 2563511253 - 2¹⁸ = 2563249109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563511273) 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, 214783 + ... + 226403.

It is an arithmetic number, because the mean of its divisors is an integer number (149962540).

Almost surely, 2^2563511253 is an apocalyptic number.

2563511253 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2563511253 is a deficient number, since it is larger than the sum of its proper divisors (1035589707).

2563511253 is a wasteful number, since it uses less digits than its factorization.

2563511253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11809 (or 11786 counting only the distinct ones).

The product of its digits is 27000, while the sum is 33.

The square root of 2563511253 is about 50631.1292882156. The cubic root of 2563511253 is about 1368.6059047575.

The spelling of 2563511253 in words is "two billion, five hundred sixty-three million, five hundred eleven thousand, two hundred fifty-three".