1252415324241 has 12 divisors (see below), whose sum is σ = 1813694861940. Its totient is φ = 832797162720.

The previous prime is 1252415324201. The next prime is 1252415324249. The reversal of 1252415324241 is 1424235142521.

1252415324241 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 41 + 532 + 42 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 216099468225 + 1036315856016 = 464865^2 + 1017996^2 .

It is not a de Polignac number, because 1252415324241 - 2¹⁹ = 1252414799953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1252415324196 and 1252415324205.

It is not an unprimeable number, because it can be changed into a prime (1252415324249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178861870 + ... + 178868871.

It is an arithmetic number, because the mean of its divisors is an integer number (151141238495).

Almost surely, 2^{1252415324241} is an apocalyptic number.

It is an amenable number.

1252415324241 is a deficient number, since it is larger than the sum of its proper divisors (561279537699).

1252415324241 is a wasteful number, since it uses less digits than its factorization.

1252415324241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357731136 (or 357731133 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The spelling of 1252415324241 in words is "one trillion, two hundred fifty-two billion, four hundred fifteen million, three hundred twenty-four thousand, two hundred forty-one".