4627428087257 has 2 divisors, whose sum is σ = 4627428087258. Its totient is φ = 4627428087256.

The previous prime is 4627428087143. The next prime is 4627428087277. The reversal of 4627428087257 is 7527808247264.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3903058579456 + 724369507801 = 1975616^2 + 851099^2 .

It is a cyclic number.

It is not a de Polignac number, because 4627428087257 - 2²⁶ = 4627360978393 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4627428087257.

It is not a weakly prime, because it can be changed into another prime (4627428087277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2313714043628 + 2313714043629.

It is an arithmetic number, because the mean of its divisors is an integer number (2313714043629).

Almost surely, 2^{4627428087257} is an apocalyptic number.

It is an amenable number.

4627428087257 is a deficient number, since it is larger than the sum of its proper divisors (1).

4627428087257 is an equidigital number, since it uses as much as digits as its factorization.

4627428087257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84295680, while the sum is 62.

The spelling of 4627428087257 in words is "four trillion, six hundred twenty-seven billion, four hundred twenty-eight million, eighty-seven thousand, two hundred fifty-seven".