411567156225 has 81 divisors (see below), whose sum is σ = 778348313379. Its totient is φ = 207857340000.

The previous prime is 411567156191. The next prime is 411567156241. The reversal of 411567156225 is 522651765114.

The square root of 411567156225 is 641535.

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

411567156225 is a `hidden beast` number, since 4 + 1 + 1 + 5 + 6 + 7 + 15 + 622 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 148164176241 + 263402979984 = 384921^2 + 513228^2 .

It is not a de Polignac number, because 411567156225 - 2⁷ = 411567156097 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 182836350 + ... + 182838600.

Almost surely, 2^411567156225 is an apocalyptic number.

411567156225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

411567156225 is the 641535-th square number.

411567156225 is the 320768-th centered octagonal number.

It is an amenable number.

411567156225 is a deficient number, since it is larger than the sum of its proper divisors (366781157154).

411567156225 is an equidigital number, since it uses as much as digits as its factorization.

411567156225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4556 (or 2278 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The spelling of 411567156225 in words is "four hundred eleven billion, five hundred sixty-seven million, one hundred fifty-six thousand, two hundred twenty-five".