1020131252249 has 8 divisors (see below), whose sum is σ = 1023516327240. Its totient is φ = 1016748975616.

The previous prime is 1020131252243. The next prime is 1020131252263. The reversal of 1020131252249 is 9422521310201.

It can be written as a sum of positive squares in 4 ways, for example, as 57833035225 + 962298217024 = 240485^2 + 980968^2 .

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 1020131252249 - 2¹² = 1020131248153 is a prime.

It is a super-2 number, since 2×1020131252249² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020131252243) 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 7 ways as a sum of consecutive naturals, for example, 31979 + ... + 1428735.

It is an arithmetic number, because the mean of its divisors is an integer number (127939540905).

Almost surely, 2^{1020131252249} is an apocalyptic number.

It is an amenable number.

1020131252249 is a deficient number, since it is larger than the sum of its proper divisors (3385074991).

1020131252249 is a wasteful number, since it uses less digits than its factorization.

1020131252249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399179.

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 1020131252249 in words is "one trillion, twenty billion, one hundred thirty-one million, two hundred fifty-two thousand, two hundred forty-nine".