1309900851081 has 27 divisors (see below), whose sum is σ = 1901163521127. Its totient is φ = 869094354240.

The previous prime is 1309900851059. The next prime is 1309900851089. The reversal of 1309900851081 is 1801580099031.

The square root of 1309900851081 is 1144509.

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

It can be written as a sum of positive squares in only one way, i.e., 985137636681 + 324763214400 = 992541^2 + 569880^2 .

It is not a de Polignac number, because 1309900851081 - 2¹³ = 1309900842889 is a prime.

It is a super-2 number, since 2×1309900851081² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1309900851089) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 827479216 + ... + 827480798.

Almost surely, 2^{1309900851081} is an apocalyptic number.

1309900851081 is the 1144509-th square number.

1309900851081 is the 572255-th centered octagonal number.

It is an amenable number.

1309900851081 is a deficient number, since it is larger than the sum of its proper divisors (591262670046).

1309900851081 is an frugal number, since it uses more digits than its factorization.

1309900851081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3654 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 1309900851081 in words is "one trillion, three hundred nine billion, nine hundred million, eight hundred fifty-one thousand, eighty-one".