5120400253 has 2 divisors, whose sum is σ = 5120400254. Its totient is φ = 5120400252.

The previous prime is 5120400217. The next prime is 5120400281. The reversal of 5120400253 is 3520040215.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4903780729 + 216619524 = 70027^2 + 14718^2 .

It is a cyclic number.

It is not a de Polignac number, because 5120400253 - 2²⁵ = 5086845821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5121400253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2560200126 + 2560200127.

It is an arithmetic number, because the mean of its divisors is an integer number (2560200127).

Almost surely, 2^5120400253 is an apocalyptic number.

It is an amenable number.

5120400253 is a deficient number, since it is larger than the sum of its proper divisors (1).

5120400253 is an equidigital number, since it uses as much as digits as its factorization.

5120400253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 5120400253 is about 71556.9720781979. The cubic root of 5120400253 is about 1723.5926633004.

Adding to 5120400253 its reverse (3520040215), we get a palindrome (8640440468).

The spelling of 5120400253 in words is "five billion, one hundred twenty million, four hundred thousand, two hundred fifty-three".