1953172845 has 80 divisors (see below), whose sum is σ = 3808938672. Its totient is φ = 951782400.

The previous prime is 1953172813. The next prime is 1953172877. The reversal of 1953172845 is 5482713591.

1953172845 is a `hidden beast` number, since 1 + 9 + 531 + 72 + 8 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (1953172813) and next prime (1953172877).

It can be written as a sum of positive squares in 8 ways, for example, as 107868996 + 1845303849 = 10386^2 + 42957^2 .

It is not a de Polignac number, because 1953172845 - 2⁵ = 1953172813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1953172845.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 529929 + ... + 533601.

Almost surely, 2^1953172845 is an apocalyptic number.

1953172845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1953172845 is a deficient number, since it is larger than the sum of its proper divisors (1855765827).

1953172845 is a wasteful number, since it uses less digits than its factorization.

1953172845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804 (or 3795 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 1953172845 is about 44194.7151252274. The cubic root of 1953172845 is about 1250.0102068500.

The spelling of 1953172845 in words is "one billion, nine hundred fifty-three million, one hundred seventy-two thousand, eight hundred forty-five".