51313216407 has 16 divisors (see below), whose sum is σ = 72128313600. Its totient is φ = 32384132352.

The previous prime is 51313216393. The next prime is 51313216433. The reversal of 51313216407 is 70461231315.

It is not a de Polignac number, because 51313216407 - 2¹⁶ = 51313150871 is a prime.

It is a super-2 number, since 2×51313216407² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51313216807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3826657 + ... + 3840042.

It is an arithmetic number, because the mean of its divisors is an integer number (4508019600).

Almost surely, 2^51313216407 is an apocalyptic number.

51313216407 is a deficient number, since it is larger than the sum of its proper divisors (20815097193).

51313216407 is a wasteful number, since it uses less digits than its factorization.

51313216407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7666822.

The product of its (nonzero) digits is 15120, while the sum is 33.

It can be divided in two parts, 51313 and 216407, that multiplied together give a cube (11104492391 = 2231³).

The spelling of 51313216407 in words is "fifty-one billion, three hundred thirteen million, two hundred sixteen thousand, four hundred seven".