51416016001 has 27 divisors (see below), whose sum is σ = 61999521129. Its totient is φ = 42513091488.

The previous prime is 51416015953. The next prime is 51416016007. The reversal of 51416016001 is 10061061415.

The square root of 51416016001 is 226751.

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 14003172225 + 37412843776 = 118335^2 + 193424^2 .

It is not a de Polignac number, because 51416016001 - 2¹³ = 51416007809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51416016007) 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, 46029895 + ... + 46031011.

Almost surely, 2^51416016001 is an apocalyptic number.

51416016001 is the 226751-st square number.

51416016001 is the 113376-th centered octagonal number.

It is an amenable number.

51416016001 is a deficient number, since it is larger than the sum of its proper divisors (10583505128).

51416016001 is an frugal number, since it uses more digits than its factorization.

51416016001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

Multiplying 51416016001 by its sum of digits (25), we get a square (1285400400025 = 1133755²).

Adding to 51416016001 its reverse (10061061415), we get a palindrome (61477077416).

The spelling of 51416016001 in words is "fifty-one billion, four hundred sixteen million, sixteen thousand, one".