1261525501125 has 24 divisors (see below), whose sum is σ = 2274109972056. Its totient is φ = 672813600000.

The previous prime is 1261525501069. The next prime is 1261525501127. The reversal of 1261525501125 is 5211055251621.

1261525501125 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 5 + 25 + 501 + 125 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 207045020484 + 1054480480641 = 455022^2 + 1026879^2 .

It is not a de Polignac number, because 1261525501125 - 2¹¹ = 1261525499077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1261525501125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261525501127) 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 23 ways as a sum of consecutive naturals, for example, 560676876 + ... + 560679125.

It is an arithmetic number, because the mean of its divisors is an integer number (94754582169).

Almost surely, 2^{1261525501125} is an apocalyptic number.

1261525501125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1261525501125 is a deficient number, since it is larger than the sum of its proper divisors (1012584470931).

1261525501125 is a wasteful number, since it uses less digits than its factorization.

1261525501125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121356022 (or 1121356009 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The spelling of 1261525501125 in words is "one trillion, two hundred sixty-one billion, five hundred twenty-five million, five hundred one thousand, one hundred twenty-five".