1958195025 has 18 divisors (see below), whose sum is σ = 3507345270. Its totient is φ = 1044370560.

The previous prime is 1958195003. The next prime is 1958195027. The reversal of 1958195025 is 5205918591.

1958195025 is a `hidden beast` number, since 19 + 581 + 9 + 50 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 25010001 + 1933185024 = 5001^2 + 43968^2 .

It is not a de Polignac number, because 1958195025 - 2⁶ = 1958194961 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1958195027) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 4351320 + ... + 4351769.

It is an arithmetic number, because the mean of its divisors is an integer number (194852515).

Almost surely, 2^1958195025 is an apocalyptic number.

1958195025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1958195025 is a deficient number, since it is larger than the sum of its proper divisors (1549150245).

1958195025 is a wasteful number, since it uses less digits than its factorization.

1958195025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8703105 (or 8703097 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 45.

The square root of 1958195025 is about 44251.4974322904. The cubic root of 1958195025 is about 1251.0806707846.

The spelling of 1958195025 in words is "one billion, nine hundred fifty-eight million, one hundred ninety-five thousand, twenty-five".