513540077 has 2 divisors, whose sum is σ = 513540078. Its totient is φ = 513540076.

The previous prime is 513540031. The next prime is 513540103. The reversal of 513540077 is 770045315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 500909161 + 12630916 = 22381^2 + 3554^2 .

It is a cyclic number.

It is not a de Polignac number, because 513540077 - 2²⁶ = 446431213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513540277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256770038 + 256770039.

It is an arithmetic number, because the mean of its divisors is an integer number (256770039).

Almost surely, 2^513540077 is an apocalyptic number.

It is an amenable number.

513540077 is a deficient number, since it is larger than the sum of its proper divisors (1).

513540077 is an equidigital number, since it uses as much as digits as its factorization.

513540077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14700, while the sum is 32.

The square root of 513540077 is about 22661.4226605480. The cubic root of 513540077 is about 800.8013205263.

The spelling of 513540077 in words is "five hundred thirteen million, five hundred forty thousand, seventy-seven".