51141108736 has 99 divisors (see below), whose sum is σ = 105622970817. Its totient is φ = 24749199360.

The previous prime is 51141108731. The next prime is 51141108743. The reversal of 51141108736 is 63780114115.

It is a happy number.

The square root of 51141108736 is 226144.

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., 45761766400 + 5379342336 = 213920^2 + 73344^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 51141108695 and 51141108704.

It is not an unprimeable number, because it can be changed into a prime (51141108731) 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, 267754401 + ... + 267754591.

Almost surely, 2^51141108736 is an apocalyptic number.

51141108736 is the 226144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51141108736

51141108736 is an abundant number, since it is smaller than the sum of its proper divisors (54481862081).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51141108736 is an frugal number, since it uses more digits than its factorization.

51141108736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The spelling of 51141108736 in words is "fifty-one billion, one hundred forty-one million, one hundred eight thousand, seven hundred thirty-six".