4590257717051 has 2 divisors, whose sum is σ = 4590257717052. Its totient is φ = 4590257717050.

The previous prime is 4590257717041. The next prime is 4590257717053. The reversal of 4590257717051 is 1507177520954.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 4590257717051 - 2¹⁰ = 4590257716027 is a prime.

It is a super-2 number, since 2×4590257717051² (a number of 26 digits) contains 22 as substring.

Together with 4590257717053, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 4590257716984 and 4590257717002.

It is not a weakly prime, because it can be changed into another prime (4590257717053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2295128858525 + 2295128858526.

It is an arithmetic number, because the mean of its divisors is an integer number (2295128858526).

Almost surely, 2^{4590257717051} is an apocalyptic number.

4590257717051 is a deficient number, since it is larger than the sum of its proper divisors (1).

4590257717051 is an equidigital number, since it uses as much as digits as its factorization.

4590257717051 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3087000, while the sum is 53.

The spelling of 4590257717051 in words is "four trillion, five hundred ninety billion, two hundred fifty-seven million, seven hundred seventeen thousand, fifty-one".