6412005625 has 15 divisors (see below), whose sum is σ = 8014944553. Its totient is φ = 5128003000.

The previous prime is 6412005569. The next prime is 6412005629. The reversal of 6412005625 is 5265002146.

The square root of 6412005625 is 80075.

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

It can be written as a sum of positive squares in 2 ways, for example, as 502701241 + 5909304384 = 22421^2 + 76872^2 .

It is not a de Polignac number, because 6412005625 - 2¹⁵ = 6411972857 is a prime.

It is a super-2 number, since 2×6412005625² = 82227632270063281250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6412005629) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2000274 + ... + 2003476.

Almost surely, 2^6412005625 is an apocalyptic number.

6412005625 is the 80075-th square number.

6412005625 is the 40038-th centered octagonal number.

It is an amenable number.

6412005625 is a deficient number, since it is larger than the sum of its proper divisors (1602938928).

6412005625 is an frugal number, since it uses more digits than its factorization.

6412005625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6426 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The cubic root of 6412005625 is about 1857.7957494170.

Multiplying 6412005625 by its product of nonzero digits (14400), we get a square (92332881000000 = 9609000²).

The spelling of 6412005625 in words is "six billion, four hundred twelve million, five thousand, six hundred twenty-five".