77525513 has 16 divisors (see below), whose sum is σ = 88037376. Its totient is φ = 67763520.

The previous prime is 77525473. The next prime is 77525519. The reversal of 77525513 is 31552577.

It is not a de Polignac number, because 77525513 - 2⁸ = 77525257 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77525519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16895 + ... + 20987.

It is an arithmetic number, because the mean of its divisors is an integer number (5502336).

Almost surely, 2^77525513 is an apocalyptic number.

It is an amenable number.

77525513 is a deficient number, since it is larger than the sum of its proper divisors (10511863).

77525513 is a wasteful number, since it uses less digits than its factorization.

77525513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184.

The product of its digits is 36750, while the sum is 35.

The square root of 77525513 is about 8804.8573526208. The cubic root of 77525513 is about 426.3977289420.

The spelling of 77525513 in words is "seventy-seven million, five hundred twenty-five thousand, five hundred thirteen".