1054098516249 has 15 divisors (see below), whose sum is σ = 1574654796847. Its totient is φ = 702726184008.

The previous prime is 1054098516239. The next prime is 1054098516253. The reversal of 1054098516249 is 9426158904501.

The square root of 1054098516249 is 1026693.

It is a perfect power (a square), and thus also a powerful number.

1054098516249 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 0 + 9 + 8 + 5 + 1 + 624 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11518655625 + 1042579860624 = 107325^2 + 1021068^2 .

It is not a de Polignac number, because 1054098516249 - 2¹⁷ = 1054098385177 is a prime.

It is a super-2 number, since 2×1054098516249² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1054098516195 and 1054098516204.

It is not an unprimeable number, because it can be changed into a prime (1054098516239) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9183199 + ... + 9297275.

Almost surely, 2^{1054098516249} is an apocalyptic number.

1054098516249 is the 1026693-rd square number.

1054098516249 is the 513347-th centered octagonal number.

It is an amenable number.

1054098516249 is a deficient number, since it is larger than the sum of its proper divisors (520556280598).

1054098516249 is an frugal number, since it uses more digits than its factorization.

1054098516249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228166 (or 114080 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 1054098516249 in words is "one trillion, fifty-four billion, ninety-eight million, five hundred sixteen thousand, two hundred forty-nine".