51074105958225 has 243 divisors, whose sum is σ = 110257798769937. Its totient is φ = 22533448613760.

The previous prime is 51074105958223. The next prime is 51074105958307. The reversal of 51074105958225 is 52285950147015.

It is a happy number.

The square root of 51074105958225 is 7146615.

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

51074105958225 is a `hidden beast` number, since 5 + 1 + 0 + 7 + 4 + 1 + 0 + 59 + 582 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 702041218641 + 50372064739584 = 837879^2 + 7097328^2 .

It is not a de Polignac number, because 51074105958225 - 2¹ = 51074105958223 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (51074105958223) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 21761441502 + ... + 21761443848.

Almost surely, 2^{51074105958225} is an apocalyptic number.

51074105958225 is the 7146615-th square number.

51074105958225 is the 3573308-th centered octagonal number.

It is an amenable number.

51074105958225 is an abundant number, since it is smaller than the sum of its proper divisors (59183692811712).

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

51074105958225 is an equidigital number, since it uses as much as digits as its factorization.

51074105958225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4782 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 54.

The spelling of 51074105958225 in words is "fifty-one trillion, seventy-four billion, one hundred five million, nine hundred fifty-eight thousand, two hundred twenty-five".