405316856025 has 27 divisors (see below), whose sum is σ = 725984629279. Its totient is φ = 216163896720.

The previous prime is 405316855987. The next prime is 405316856093. The reversal of 405316856025 is 520658613504.

The square root of 405316856025 is 636645.

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

405316856025 is a `hidden beast` number, since 4 + 0 + 5 + 3 + 1 + 68 + 560 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 145914068169 + 259402787856 = 381987^2 + 509316^2 .

It is not a de Polignac number, because 405316856025 - 2¹³ = 405316847833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9528454 + ... + 9570896.

Almost surely, 2^405316856025 is an apocalyptic number.

405316856025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

405316856025 is the 636645-th square number.

405316856025 is the 318323-rd centered octagonal number.

It is an amenable number.

405316856025 is a deficient number, since it is larger than the sum of its proper divisors (320667773254).

405316856025 is an frugal number, since it uses more digits than its factorization.

405316856025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84902 (or 42451 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 405316856025 in words is "four hundred five billion, three hundred sixteen million, eight hundred fifty-six thousand, twenty-five".