275407113312513 has 80 divisors (see below), whose sum is σ = 506475125833600. Its totient is φ = 145234229935104.

The previous prime is 275407113312503. The next prime is 275407113312557. The reversal of 275407113312513 is 315213311704572.

It is a happy number.

275407113312513 is a `hidden beast` number, since 2 + 7 + 5 + 4 + 0 + 7 + 113 + 3 + 12 + 513 = 666.

275407113312513 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 275407113312513 - 2⁵ = 275407113312481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (275407113312503) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25656081 + ... + 34771377.

It is an arithmetic number, because the mean of its divisors is an integer number (6330939072920).

Almost surely, 2^{275407113312513} is an apocalyptic number.

It is an amenable number.

275407113312513 is a deficient number, since it is larger than the sum of its proper divisors (231068012521087).

275407113312513 is a wasteful number, since it uses less digits than its factorization.

275407113312513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9119428 (or 9119419 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 275407113312513 in words is "two hundred seventy-five trillion, four hundred seven billion, one hundred thirteen million, three hundred twelve thousand, five hundred thirteen".