1417564078225 has 27 divisors (see below), whose sum is σ = 1767241781617. Its totient is φ = 1127979126080.

The previous prime is 1417564078213. The next prime is 1417564078291. The reversal of 1417564078225 is 5228704657141.

The square root of 1417564078225 is 1190615.

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 151912078081 + 1265652000144 = 389759^2 + 1125012^2 .

It is not a de Polignac number, because 1417564078225 - 2²⁵ = 1417530523793 is a prime.

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, 1351347501 + ... + 1351348549.

Almost surely, 2^{1417564078225} is an apocalyptic number.

1417564078225 is the 1190615-th square number.

1417564078225 is the 595308-th centered octagonal number.

It is an amenable number.

1417564078225 is a deficient number, since it is larger than the sum of its proper divisors (349677703392).

1417564078225 is an frugal number, since it uses more digits than its factorization.

1417564078225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2562 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 52.

The spelling of 1417564078225 in words is "one trillion, four hundred seventeen billion, five hundred sixty-four million, seventy-eight thousand, two hundred twenty-five".