51937954201 has 15 divisors (see below), whose sum is σ = 60603704853. Its totient is φ = 44508674700.

The previous prime is 51937954181. The next prime is 51937954207. The reversal of 51937954201 is 10245973915.

The square root of 51937954201 is 227899.

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

It is not a de Polignac number, because 51937954201 - 2⁹ = 51937953689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51937954207) 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 14 ways as a sum of consecutive naturals, for example, 11164726 + ... + 11169376.

Almost surely, 2^51937954201 is an apocalyptic number.

51937954201 is the 227899-th square number.

51937954201 is the 113950-th centered octagonal number.

It is an amenable number.

51937954201 is a deficient number, since it is larger than the sum of its proper divisors (8665750652).

51937954201 is an frugal number, since it uses more digits than its factorization.

51937954201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9330 (or 4658 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 46.

The spelling of 51937954201 in words is "fifty-one billion, nine hundred thirty-seven million, nine hundred fifty-four thousand, two hundred one".