1954966225 has 27 divisors (see below), whose sum is σ = 2501914737. Its totient is φ = 1515336480.

The previous prime is 1954966219. The next prime is 1954966261. The reversal of 1954966225 is 5226694591.

The square root of 1954966225 is 44215.

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 185586129 + 1769380096 = 13623^2 + 42064^2 .

It is not a de Polignac number, because 1954966225 - 2²⁷ = 1820748497 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, 8179656 + ... + 8179894.

Almost surely, 2^1954966225 is an apocalyptic number.

1954966225 is the 44215-th square number.

1954966225 is the 22108-th centered octagonal number.

It is an amenable number.

1954966225 is a deficient number, since it is larger than the sum of its proper divisors (546948512).

1954966225 is an frugal number, since it uses more digits than its factorization.

1954966225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 281 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 49.

The cubic root of 1954966225 is about 1250.3926713011.

Multiplying 1954966225 by its sum of digits (49), we get a square (95793345025 = 309505²).

The spelling of 1954966225 in words is "one billion, nine hundred fifty-four million, nine hundred sixty-six thousand, two hundred twenty-five".