1251552105 has 48 divisors (see below), whose sum is σ = 2199197520. Its totient is φ = 658368000.

The previous prime is 1251552089. The next prime is 1251552149. The reversal of 1251552105 is 5012551521.

1251552105 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 552 + 105 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 138862656 + 1112689449 = 11784^2 + 33357^2 .

It is not a de Polignac number, because 1251552105 - 2⁴ = 1251552089 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2313135 + ... + 2313675.

It is an arithmetic number, because the mean of its divisors is an integer number (45816615).

Almost surely, 2^1251552105 is an apocalyptic number.

1251552105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1251552105 is a deficient number, since it is larger than the sum of its proper divisors (947645415).

1251552105 is a wasteful number, since it uses less digits than its factorization.

1251552105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 27.

The square root of 1251552105 is about 35377.2823292010. The cubic root of 1251552105 is about 1077.6630151203.

It can be divided in two parts, 125155 and 2105, that added together give a triangular number (127260 = T₅₀₄).

The spelling of 1251552105 in words is "one billion, two hundred fifty-one million, five hundred fifty-two thousand, one hundred five".