427760513 has 2 divisors, whose sum is σ = 427760514. Its totient is φ = 427760512.

The previous prime is 427760491. The next prime is 427760519. The reversal of 427760513 is 315067724.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 221206129 + 206554384 = 14873^2 + 14372^2 .

It is a cyclic number.

It is not a de Polignac number, because 427760513 - 2⁶ = 427760449 is a prime.

It is equal to p_22735385 and since 427760513 and 22735385 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (427760519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 213880256 + 213880257.

It is an arithmetic number, because the mean of its divisors is an integer number (213880257).

Almost surely, 2^427760513 is an apocalyptic number.

It is an amenable number.

427760513 is a deficient number, since it is larger than the sum of its proper divisors (1).

427760513 is an equidigital number, since it uses as much as digits as its factorization.

427760513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 427760513 is about 20682.3720351414. The cubic root of 427760513 is about 753.4716171126.

The spelling of 427760513 in words is "four hundred twenty-seven million, seven hundred sixty thousand, five hundred thirteen".