1272165525 has 54 divisors (see below), whose sum is σ = 2312408358. Its totient is φ = 668563200.

The previous prime is 1272165511. The next prime is 1272165541. The reversal of 1272165525 is 5255612721.

1272165525 is a `hidden beast` number, since 1 + 2 + 72 + 1 + 65 + 525 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 180391761 + 1091773764 = 13431^2 + 33042^2 .

It is not a de Polignac number, because 1272165525 - 2¹⁰ = 1272164501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1272165525.

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 53 ways as a sum of consecutive naturals, for example, 1198495 + ... + 1199555.

It is an arithmetic number, because the mean of its divisors is an integer number (42822377).

Almost surely, 2^1272165525 is an apocalyptic number.

1272165525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1272165525 is a deficient number, since it is larger than the sum of its proper divisors (1040242833).

1272165525 is a wasteful number, since it uses less digits than its factorization.

1272165525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1142 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 1272165525 is about 35667.4294700361. The cubic root of 1272165525 is about 1083.5472994862.

The spelling of 1272165525 in words is "one billion, two hundred seventy-two million, one hundred sixty-five thousand, five hundred twenty-five".