51746695441 has 9 divisors (see below), whose sum is σ = 60196987899. Its totient is φ = 44352945504.

The previous prime is 51746695411. The next prime is 51746695447. The reversal of 51746695441 is 14459664715.

It is a happy number.

The square root of 51746695441 is 227479.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 42512254225 + 9234441216 = 206185^2 + 96096^2 .

It is not a de Polignac number, because 51746695441 - 2¹⁹ = 51746171153 is a prime.

It is a super-2 number, since 2×51746695441² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51746695447) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1576105 + ... + 1608601.

It is an arithmetic number, because the mean of its divisors is an integer number (6688554211).

Almost surely, 2^51746695441 is an apocalyptic number.

51746695441 is the 227479-th square number.

51746695441 is the 113740-th centered octagonal number.

It is an amenable number.

51746695441 is a deficient number, since it is larger than the sum of its proper divisors (8450292458).

51746695441 is an frugal number, since it uses more digits than its factorization.

51746695441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65008 (or 32504 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 52.

The spelling of 51746695441 in words is "fifty-one billion, seven hundred forty-six million, six hundred ninety-five thousand, four hundred forty-one".