77532800253005 has 8 divisors (see below), whose sum is σ = 93057556962552. Its totient is φ = 62014109096448.

The previous prime is 77532800253001. The next prime is 77532800253043. The reversal of 77532800253005 is 50035200823577.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 133380535369 + 77399419717636 = 365213^2 + 8797694^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 77532800253005 - 2² = 77532800253001 is a prime.

It is a super-2 number, since 2×77532800253005² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77532800253001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1516360124 + ... + 1516411253.

It is an arithmetic number, because the mean of its divisors is an integer number (11632194620319).

Almost surely, 2^{77532800253005} is an apocalyptic number.

It is an amenable number.

77532800253005 is a deficient number, since it is larger than the sum of its proper divisors (15524756709547).

77532800253005 is a wasteful number, since it uses less digits than its factorization.

77532800253005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032776495.

The product of its (nonzero) digits is 1764000, while the sum is 47.

The spelling of 77532800253005 in words is "seventy-seven trillion, five hundred thirty-two billion, eight hundred million, two hundred fifty-three thousand, five".