1405125225 has 225 divisors, whose sum is σ = 3225511157. Its totient is φ = 604558080.

The previous prime is 1405125199. The next prime is 1405125229. The reversal of 1405125225 is 5225215041.

The square root of 1405125225 is 37485.

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

1405125225 is a `hidden beast` number, since 1 + 405 + 1 + 252 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32867289 + 1372257936 = 5733^2 + 37044^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 1405125225 - 2¹⁵ = 1405092457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1405125229) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 82654417 + ... + 82654433.

Almost surely, 2^1405125225 is an apocalyptic number.

1405125225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1405125225 is the 37485-th square number.

1405125225 is the 18743-rd centered octagonal number.

It is an amenable number.

1405125225 is an abundant number, since it is smaller than the sum of its proper divisors (1820385932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1405125225 is an frugal number, since it uses more digits than its factorization.

1405125225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The cubic root of 1405125225 is about 1120.0524064020.

The spelling of 1405125225 in words is "one billion, four hundred five million, one hundred twenty-five thousand, two hundred twenty-five".