51346061775657 has 64 divisors (see below), whose sum is σ = 87841432166400. Its totient is φ = 29347023504960.

The previous prime is 51346061775611. The next prime is 51346061775719. The reversal of 51346061775657 is 75657716064315.

51346061775657 is a `hidden beast` number, since 5 + 1 + 3 + 4 + 6 + 0 + 61 + 7 + 7 + 565 + 7 = 666.

It is not a de Polignac number, because 51346061775657 - 2¹⁵ = 51346061742889 is a prime.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 51346061775594 and 51346061775603.

It is not an unprimeable number, because it can be changed into a prime (51346061775157) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68948953 + ... + 69689670.

It is an arithmetic number, because the mean of its divisors is an integer number (1372522377600).

Almost surely, 2^{51346061775657} is an apocalyptic number.

It is an amenable number.

51346061775657 is a deficient number, since it is larger than the sum of its proper divisors (36495370390743).

51346061775657 is a wasteful number, since it uses less digits than its factorization.

51346061775657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138638715 (or 138638709 counting only the distinct ones).

The product of its (nonzero) digits is 111132000, while the sum is 63.

The spelling of 51346061775657 in words is "fifty-one trillion, three hundred forty-six billion, sixty-one million, seven hundred seventy-five thousand, six hundred fifty-seven".