405268635751225 has 9 divisors (see below), whose sum is σ = 502533233145517. Its totient is φ = 324214828075840.

The previous prime is 405268635751193. The next prime is 405268635751247. The reversal of 405268635751225 is 522157536862504.

The square root of 405268635751225 is 20131285.

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 2182867367209 + 403085768384016 = 1477453^2 + 20076996^2 .

It is not a de Polignac number, because 405268635751225 - 2⁵ = 405268635751193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 98643297 + ... + 102669553.

Almost surely, 2^{405268635751225} is an apocalyptic number.

405268635751225 is the 20131285-th square number.

405268635751225 is the 10065643-rd centered octagonal number.

It is an amenable number.

405268635751225 is a deficient number, since it is larger than the sum of its proper divisors (97264597394292).

405268635751225 is an frugal number, since it uses more digits than its factorization.

405268635751225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8052524 (or 4026262 counting only the distinct ones).

The product of its (nonzero) digits is 120960000, while the sum is 61.

The spelling of 405268635751225 in words is "four hundred five trillion, two hundred sixty-eight billion, six hundred thirty-five million, seven hundred fifty-one thousand, two hundred twenty-five".