2506346253 has 16 divisors (see below), whose sum is σ = 3716922240. Its totient is φ = 1669180032.

The previous prime is 2506346239. The next prime is 2506346267. The reversal of 2506346253 is 3526436052.

2506346253 is a `hidden beast` number, since 25 + 0 + 6 + 3 + 4 + 625 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (2506346239) and next prime (2506346267).

It is not a de Polignac number, because 2506346253 - 2⁹ = 2506345741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506346053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20676 + ... + 73757.

It is an arithmetic number, because the mean of its divisors is an integer number (232307640).

Almost surely, 2^2506346253 is an apocalyptic number.

It is an amenable number.

2506346253 is a deficient number, since it is larger than the sum of its proper divisors (1210575987).

2506346253 is an equidigital number, since it uses as much as digits as its factorization.

2506346253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95425 (or 95419 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 2506346253 is about 50063.4223061109. The cubic root of 2506346253 is about 1358.3562633020.

The spelling of 2506346253 in words is "two billion, five hundred six million, three hundred forty-six thousand, two hundred fifty-three".