51740326225 has 81 divisors (see below), whose sum is σ = 76552446033. Its totient is φ = 34589237760.

The previous prime is 51740326213. The next prime is 51740326229. The reversal of 51740326225 is 52262304715.

The square root of 51740326225 is 227465.

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 1902442689 + 49837883536 = 43617^2 + 223244^2 .

It is a de Polignac number, because none of the positive numbers 2^k-51740326225 is a prime.

It is a super-2 number, since 2×51740326225² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51740326229) 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 80 ways as a sum of consecutive naturals, for example, 533405377 + ... + 533405473.

Almost surely, 2^51740326225 is an apocalyptic number.

51740326225 is the 227465-th square number.

51740326225 is the 113733-rd centered octagonal number.

It is an amenable number.

51740326225 is a deficient number, since it is larger than the sum of its proper divisors (24812119808).

51740326225 is an frugal number, since it uses more digits than its factorization.

51740326225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 51740326225 in words is "fifty-one billion, seven hundred forty million, three hundred twenty-six thousand, two hundred twenty-five".