75577035114313 has 16 divisors (see below), whose sum is σ = 80665159374720. Its totient is φ = 70600450352256.

The previous prime is 75577035114293. The next prime is 75577035114341. The reversal of 75577035114313 is 31341153077557.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-75577035114313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75577035114613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1522645 + ... + 12388402.

It is an arithmetic number, because the mean of its divisors is an integer number (5041572460920).

Almost surely, 2^{75577035114313} is an apocalyptic number.

75577035114313 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

75577035114313 is a deficient number, since it is larger than the sum of its proper divisors (5088124260407).

75577035114313 is a wasteful number, since it uses less digits than its factorization.

75577035114313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13915056.

The product of its (nonzero) digits is 4630500, while the sum is 52.

The spelling of 75577035114313 in words is "seventy-five trillion, five hundred seventy-seven billion, thirty-five million, one hundred fourteen thousand, three hundred thirteen".