253012657 has 2 divisors, whose sum is σ = 253012658. Its totient is φ = 253012656.

The previous prime is 253012637. The next prime is 253012663. The reversal of 253012657 is 756210352.

253012657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126697536 + 126315121 = 11256^2 + 11239^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-253012657 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (253012637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126506328 + 126506329.

It is an arithmetic number, because the mean of its divisors is an integer number (126506329).

Almost surely, 2^253012657 is an apocalyptic number.

It is an amenable number.

253012657 is a deficient number, since it is larger than the sum of its proper divisors (1).

253012657 is an equidigital number, since it uses as much as digits as its factorization.

253012657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 253012657 is about 15906.3715849970. The cubic root of 253012657 is about 632.4809011715.

The spelling of 253012657 in words is "two hundred fifty-three million, twelve thousand, six hundred fifty-seven".