77210513 has 2 divisors, whose sum is σ = 77210514. Its totient is φ = 77210512.

The previous prime is 77210479. The next prime is 77210521. The reversal of 77210513 is 31501277.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39853969 + 37356544 = 6313^2 + 6112^2 .

It is a cyclic number.

It is not a de Polignac number, because 77210513 - 2⁶ = 77210449 is a prime.

It is a super-2 number, since 2×77210513² = 11922926635446338, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (77210533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38605256 + 38605257.

It is an arithmetic number, because the mean of its divisors is an integer number (38605257).

Almost surely, 2^77210513 is an apocalyptic number.

It is an amenable number.

77210513 is a deficient number, since it is larger than the sum of its proper divisors (1).

77210513 is an equidigital number, since it uses as much as digits as its factorization.

77210513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 77210513 is about 8786.9512915459. The cubic root of 77210513 is about 425.8194349635.

The spelling of 77210513 in words is "seventy-seven million, two hundred ten thousand, five hundred thirteen".