51742631629 has 32 divisors (see below), whose sum is σ = 56961211104. Its totient is φ = 46714060800.

The previous prime is 51742631627. The next prime is 51742631671. The reversal of 51742631629 is 92613624715.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 361076004 + 51381555625 = 19002^2 + 226675^2 .

It is a cyclic number.

It is not a de Polignac number, because 51742631629 - 2¹ = 51742631627 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51742631627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86093929 + ... + 86094529.

It is an arithmetic number, because the mean of its divisors is an integer number (1780037847).

Almost surely, 2^51742631629 is an apocalyptic number.

It is an amenable number.

51742631629 is a deficient number, since it is larger than the sum of its proper divisors (5218579475).

51742631629 is a wasteful number, since it uses less digits than its factorization.

51742631629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297.

The product of its digits is 544320, while the sum is 46.

The spelling of 51742631629 in words is "fifty-one billion, seven hundred forty-two million, six hundred thirty-one thousand, six hundred twenty-nine".