2510761253 has 24 divisors (see below), whose sum is σ = 3396645504. Its totient is φ = 1805934240.

The previous prime is 2510761223. The next prime is 2510761261. The reversal of 2510761253 is 3521670152.

2510761253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2510761253 - 2¹⁴ = 2510744869 is a prime.

It is a super-2 number, since 2×2510761253² = 12607844139132260018, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2510761223) 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, 103001 + ... + 125022.

It is an arithmetic number, because the mean of its divisors is an integer number (141526896).

Almost surely, 2^2510761253 is an apocalyptic number.

It is an amenable number.

2510761253 is a deficient number, since it is larger than the sum of its proper divisors (885884251).

2510761253 is a wasteful number, since it uses less digits than its factorization.

2510761253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228065 (or 228054 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 2510761253 is about 50107.4969740058. The cubic root of 2510761253 is about 1359.1533897909.

The spelling of 2510761253 in words is "two billion, five hundred ten million, seven hundred sixty-one thousand, two hundred fifty-three".