51264676345 has 24 divisors (see below), whose sum is σ = 62636499720. Its totient is φ = 40278470400.

The previous prime is 51264676327. The next prime is 51264676367. The reversal of 51264676345 is 54367646215.

It can be written as a sum of positive squares in 4 ways, for example, as 320123664 + 50944552681 = 17892^2 + 225709^2 .

It is not a de Polignac number, because 51264676345 - 2¹³ = 51264668153 is a prime.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6776365 + ... + 6783925.

It is an arithmetic number, because the mean of its divisors is an integer number (2609854155).

Almost surely, 2^51264676345 is an apocalyptic number.

It is an amenable number.

51264676345 is a deficient number, since it is larger than the sum of its proper divisors (11371823375).

51264676345 is an equidigital number, since it uses as much as digits as its factorization.

51264676345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7977 (or 7906 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 49.

It can be divided in two parts, 51264 and 676345, that added together give a square (727609 = 853²).

The spelling of 51264676345 in words is "fifty-one billion, two hundred sixty-four million, six hundred seventy-six thousand, three hundred forty-five".