772753455474013 has 32 divisors (see below), whose sum is σ = 834879185562240. Its totient is φ = 711014150922240.

The previous prime is 772753455473947. The next prime is 772753455474019. The reversal of 772753455474013 is 310474554357277.

It is a cyclic number.

It is not a de Polignac number, because 772753455474013 - 2²⁵ = 772753421919581 is a prime.

It is a super-3 number, since 3×772753455474013³ (a number of 46 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772753455474019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34980454098 + ... + 34980476188.

It is an arithmetic number, because the mean of its divisors is an integer number (26089974548820).

Almost surely, 2^{772753455474013} is an apocalyptic number.

It is an amenable number.

772753455474013 is a deficient number, since it is larger than the sum of its proper divisors (62125730088227).

772753455474013 is a wasteful number, since it uses less digits than its factorization.

772753455474013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27597.

The product of its (nonzero) digits is 345744000, while the sum is 64.

The spelling of 772753455474013 in words is "seven hundred seventy-two trillion, seven hundred fifty-three billion, four hundred fifty-five million, four hundred seventy-four thousand, thirteen".