5051997952225 has 81 divisors (see below), whose sum is σ = 7353546745881. Its totient is φ = 3432993614400.

The previous prime is 5051997952223. The next prime is 5051997952229. The reversal of 5051997952225 is 5222597991505.

The square root of 5051997952225 is 2247665.

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 1507785070561 + 3544212881664 = 1227919^2 + 1882608^2 .

It is not a de Polignac number, because 5051997952225 - 2¹ = 5051997952223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5051997952223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11721572760 + ... + 11721573190.

Almost surely, 2^{5051997952225} is an apocalyptic number.

5051997952225 is the 2247665-th square number.

5051997952225 is the 1123833-rd centered octagonal number.

It is an amenable number.

5051997952225 is a deficient number, since it is larger than the sum of its proper divisors (2301548793656).

5051997952225 is an frugal number, since it uses more digits than its factorization.

5051997952225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 25515000, while the sum is 61.

The spelling of 5051997952225 in words is "five trillion, fifty-one billion, nine hundred ninety-seven million, nine hundred fifty-two thousand, two hundred twenty-five".