51144274801 has 27 divisors (see below), whose sum is σ = 55595655073. Its totient is φ = 47039408000.

The previous prime is 51144274781. The next prime is 51144274823. The reversal of 51144274801 is 10847244115.

It is a happy number.

The square root of 51144274801 is 226151.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12814466401 + 38329808400 = 113201^2 + 195780^2 .

It is not a de Polignac number, because 51144274801 - 2⁷ = 51144274673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51144274301) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 203761926 + ... + 203762176.

Almost surely, 2^51144274801 is an apocalyptic number.

51144274801 is the 226151-st square number.

51144274801 is the 113076-th centered octagonal number.

It is an amenable number.

51144274801 is a deficient number, since it is larger than the sum of its proper divisors (4451380272).

51144274801 is an frugal number, since it uses more digits than its factorization.

51144274801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The spelling of 51144274801 in words is "fifty-one billion, one hundred forty-four million, two hundred seventy-four thousand, eight hundred one".