1301874154009 has 81 divisors (see below), whose sum is σ = 1585083776157. Its totient is φ = 1067973192000.

The previous prime is 1301874153991. The next prime is 1301874154073. The reversal of 1301874154009 is 9004514781031.

It is a happy number.

The square root of 1301874154009 is 1140997.

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

It can be written as a sum of positive squares in 4 ways, for example, as 49104344025 + 1252769809984 = 221595^2 + 1119272^2 .

It is not a de Polignac number, because 1301874154009 - 2¹¹ = 1301874151961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1301874154079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12889843059 + ... + 12889843159.

Almost surely, 2^{1301874154009} is an apocalyptic number.

1301874154009 is the 1140997-th square number.

1301874154009 is the 570499-th centered octagonal number.

It is an amenable number.

1301874154009 is a deficient number, since it is larger than the sum of its proper divisors (283209622148).

1301874154009 is an equidigital number, since it uses as much as digits as its factorization.

1301874154009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 1301874154009 in words is "one trillion, three hundred one billion, eight hundred seventy-four million, one hundred fifty-four thousand, nine".