5461966297225 has 9 divisors (see below), whose sum is σ = 6772852698517. Its totient is φ = 4369563689440.

The previous prime is 5461966297223. The next prime is 5461966297357. The reversal of 5461966297225 is 5227926691645.

The square root of 5461966297225 is 2337085.

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 1353902126329 + 4108064170896 = 1163573^2 + 2026836^2 .

It is not a de Polignac number, because 5461966297225 - 2¹ = 5461966297223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5461966297223) 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, 11451717 + ... + 11919133.

Almost surely, 2^{5461966297225} is an apocalyptic number.

5461966297225 is the 2337085-th square number.

5461966297225 is the 1168543-rd centered octagonal number.

It is an amenable number.

5461966297225 is a deficient number, since it is larger than the sum of its proper divisors (1310886401292).

5461966297225 is an frugal number, since it uses more digits than its factorization.

5461966297225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934844 (or 467422 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 64.

Multiplying 5461966297225 by its sum of digits (64), we get a square (349565843022400 = 18696680²).

The spelling of 5461966297225 in words is "five trillion, four hundred sixty-one billion, nine hundred sixty-six million, two hundred ninety-seven thousand, two hundred twenty-five".