1014252524101 has 8 divisors (see below), whose sum is σ = 1049249731320. Its totient is φ = 979256849088.

The previous prime is 1014252524041. The next prime is 1014252524137.

1014252524101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 16503256225 + 997749267876 = 128465^2 + 998874^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1014252524101 - 2¹⁵ = 1014252491333 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1014252524101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014252525101) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1055295 + ... + 1772611.

It is an arithmetic number, because the mean of its divisors is an integer number (131156216415).

Almost surely, 2^{1014252524101} is an apocalyptic number.

It is an amenable number.

1014252524101 is a deficient number, since it is larger than the sum of its proper divisors (34997207219).

1014252524101 is an equidigital number, since it uses as much as digits as its factorization.

1014252524101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766103.

The product of its (nonzero) digits is 3200, while the sum is 28.

The spelling of 1014252524101 in words is "one trillion, fourteen billion, two hundred fifty-two million, five hundred twenty-four thousand, one hundred one".