51142917904 has 45 divisors (see below), whose sum is σ = 107322670623. Its totient is φ = 23598996096.

The previous prime is 51142917901. The next prime is 51142917953. The reversal of 51142917904 is 40971924115.

The square root of 51142917904 is 226148.

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 37395824400 + 13747093504 = 193380^2 + 117248^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51142917901) 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, 11757522 + ... + 11761870.

Almost surely, 2^51142917904 is an apocalyptic number.

51142917904 is the 226148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51142917904

51142917904 is an abundant number, since it is smaller than the sum of its proper divisors (56179752719).

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

51142917904 is an frugal number, since it uses more digits than its factorization.

51142917904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8732 (or 4364 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 43.

The spelling of 51142917904 in words is "fifty-one billion, one hundred forty-two million, nine hundred seventeen thousand, nine hundred four".