77513 has 2 divisors, whose sum is σ = 77514. Its totient is φ = 77512.

The previous prime is 77509. The next prime is 77521. The reversal of 77513 is 31577.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76729 + 784 = 277^2 + 28^2 .

It is a cyclic number.

It is not a de Polignac number, because 77513 - 2² = 77509 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (77543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38756 + 38757.

It is an arithmetic number, because the mean of its divisors is an integer number (38757).

2⁷⁷⁵¹³ is an apocalyptic number.

It is an amenable number.

77513 is a deficient number, since it is larger than the sum of its proper divisors (1).

77513 is an equidigital number, since it uses as much as digits as its factorization.

77513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 735, while the sum is 23.

The square root of 77513 is about 278.4115658517. The cubic root of 77513 is about 42.6374786809.

The spelling of 77513 in words is "seventy-seven thousand, five hundred thirteen".