77536513 has 2 divisors, whose sum is σ = 77536514. Its totient is φ = 77536512.

The previous prime is 77536499. The next prime is 77536573. The reversal of 77536513 is 31563577.

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., 45805824 + 31730689 = 6768^2 + 5633^2 .

It is a cyclic number.

It is not a de Polignac number, because 77536513 - 2²¹ = 75439361 is a prime.

It is not a weakly prime, because it can be changed into another prime (77536573) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38768256 + 38768257.

It is an arithmetic number, because the mean of its divisors is an integer number (38768257).

Almost surely, 2^77536513 is an apocalyptic number.

It is an amenable number.

77536513 is a deficient number, since it is larger than the sum of its proper divisors (1).

77536513 is an equidigital number, since it uses as much as digits as its factorization.

77536513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 66150, while the sum is 37.

The square root of 77536513 is about 8805.4819856723. The cubic root of 77536513 is about 426.4178950052.

The spelling of 77536513 in words is "seventy-seven million, five hundred thirty-six thousand, five hundred thirteen".