1953198025 has 9 divisors (see below), whose sum is σ = 2422239591. Its totient is φ = 1562381640.

The previous prime is 1953198011. The next prime is 1953198041. The reversal of 1953198025 is 5208913591.

It is a happy number.

The square root of 1953198025 is 44195.

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

It can be written as a sum of positive squares in only one way, i.e., 703151289 + 1250046736 = 26517^2 + 35356^2 .

It is not a de Polignac number, because 1953198025 - 2⁵ = 1953197993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 216556 + ... + 225394.

Almost surely, 2^1953198025 is an apocalyptic number.

1953198025 is the 44195-th square number.

1953198025 is the 22098-th centered octagonal number.

It is an amenable number.

1953198025 is a deficient number, since it is larger than the sum of its proper divisors (469041566).

1953198025 is an frugal number, since it uses more digits than its factorization.

1953198025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17688 (or 8844 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 43.

The cubic root of 1953198025 is about 1250.0155784725.

The spelling of 1953198025 in words is "one billion, nine hundred fifty-three million, one hundred ninety-eight thousand, twenty-five".