77526013 has 2 divisors, whose sum is σ = 77526014. Its totient is φ = 77526012.

The previous prime is 77525993. The next prime is 77526037. The reversal of 77526013 is 31062577.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73908409 + 3617604 = 8597^2 + 1902^2 .

It is a cyclic number.

It is not a de Polignac number, because 77526013 - 2¹³ = 77517821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77523013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38763006 + 38763007.

It is an arithmetic number, because the mean of its divisors is an integer number (38763007).

Almost surely, 2^77526013 is an apocalyptic number.

It is an amenable number.

77526013 is a deficient number, since it is larger than the sum of its proper divisors (1).

77526013 is an equidigital number, since it uses as much as digits as its factorization.

77526013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 77526013 is about 8804.8857459935. The cubic root of 77526013 is about 426.3986456226.

The spelling of 77526013 in words is "seventy-seven million, five hundred twenty-six thousand, thirteen".