51508640010304 has 21 divisors (see below), whose sum is σ = 102212571454687. Its totient is φ = 25754291297344.

The previous prime is 51508640010301. The next prime is 51508640010307. The reversal of 51508640010304 is 40301004680515.

It is a happy number.

The square root of 51508640010304 is 7176952.

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

It is an interprime number because it is at equal distance from previous prime (51508640010301) and next prime (51508640010307).

It is a super-2 number, since 2×51508640010304² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51508640010301) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 56967057 + ... + 57864175.

Almost surely, 2^{51508640010304} is an apocalyptic number.

51508640010304 is the 7176952-nd square number.

It is an amenable number.

51508640010304 is a deficient number, since it is larger than the sum of its proper divisors (50703931444383).

51508640010304 is an frugal number, since it uses more digits than its factorization.

51508640010304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794250 (or 897121 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

Adding to 51508640010304 its reverse (40301004680515), we get a palindrome (91809644690819).

The spelling of 51508640010304 in words is "fifty-one trillion, five hundred eight billion, six hundred forty million, ten thousand, three hundred four".