1051414398225 has 81 divisors (see below), whose sum is σ = 1898278424497. Its totient is φ = 556300073280.

The previous prime is 1051414398211. The next prime is 1051414398257. The reversal of 1051414398225 is 5228934141501.

The square root of 1051414398225 is 1025385.

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

1051414398225 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 414 + 3 + 9 + 8 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 242450866449 + 808963531776 = 492393^2 + 899424^2 .

It is not a de Polignac number, because 1051414398225 - 2⁹ = 1051414397713 is a prime.

It is a super-2 number, since 2×1051414398225² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 3030012502 + ... + 3030012848.

Almost surely, 2^{1051414398225} is an apocalyptic number.

1051414398225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1051414398225 is the 1025385-th square number.

1051414398225 is the 512693-rd centered octagonal number.

It is an amenable number.

1051414398225 is a deficient number, since it is larger than the sum of its proper divisors (846864026272).

1051414398225 is an frugal number, since it uses more digits than its factorization.

1051414398225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1051414398225 in words is "one trillion, fifty-one billion, four hundred fourteen million, three hundred ninety-eight thousand, two hundred twenty-five".