1310946849 has 33 divisors (see below), whose sum is σ = 1979695123. Its totient is φ = 868099032.

The previous prime is 1310946829. The next prime is 1310946853. The reversal of 1310946849 is 9486490131.

The square root of 1310946849 is 36207.

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., 153586449 + 1157360400 = 12393^2 + 34020^2 .

It is not a de Polignac number, because 1310946849 - 2¹⁷ = 1310815777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1310946829) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 8798227 + ... + 8798375.

Almost surely, 2^1310946849 is an apocalyptic number.

1310946849 is the 36207-th square number.

1310946849 is the 18104-th centered octagonal number.

It is an amenable number.

1310946849 is a deficient number, since it is larger than the sum of its proper divisors (668748274).

1310946849 is an frugal number, since it uses more digits than its factorization.

1310946849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The cubic root of 1310946849 is about 1094.4477380276.

Multiplying 1310946849 by its product of nonzero digits (186624), we get a square (244654144747776 = 15641424²).

The spelling of 1310946849 in words is "one billion, three hundred ten million, nine hundred forty-six thousand, eight hundred forty-nine".