1911875625 has 135 divisors (see below), whose sum is σ = 3866049187. Its totient is φ = 909480000.

The previous prime is 1911875593. The next prime is 1911875657. The reversal of 1911875625 is 5265781191.

The square root of 1911875625 is 43725.

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

1911875625 is a `hidden beast` number, since 1 + 9 + 1 + 1 + 87 + 562 + 5 = 666.

1911875625 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1911875593) and next prime (1911875657).

It can be written as a sum of positive squares in 7 ways, for example, as 1060870041 + 851005584 = 32571^2 + 29172^2 .

It is not a de Polignac number, because 1911875625 - 2⁵ = 1911875593 is a prime.

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

Its product of digits (151200) is a multiple of the sum of its prime divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 36073099 + ... + 36073151.

Almost surely, 2^1911875625 is an apocalyptic number.

1911875625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1911875625 is the 43725-th square number.

1911875625 is the 21863-rd centered octagonal number.

It is an amenable number.

1911875625 is an abundant number, since it is smaller than the sum of its proper divisors (1954173562).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1911875625 is an equidigital number, since it uses as much as digits as its factorization.

1911875625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 72 counting only the distinct ones).

The product of its digits is 151200, while the sum is 45.

The cubic root of 1911875625 is about 1241.1374459449.

The spelling of 1911875625 in words is "one billion, nine hundred eleven million, eight hundred seventy-five thousand, six hundred twenty-five".