1290749329 has 9 divisors (see below), whose sum is σ = 1327944891. Its totient is φ = 1254570840.

The previous prime is 1290749311. The next prime is 1290749353. The reversal of 1290749329 is 9239470921.

It is a happy number.

The square root of 1290749329 is 35927.

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., 1154980225 + 135769104 = 33985^2 + 11652^2 .

It is not a de Polignac number, because 1290749329 - 2¹⁵ = 1290716561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1290749129) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1328814 + ... + 1329784.

Almost surely, 2^1290749329 is an apocalyptic number.

1290749329 is the 35927-th square number.

1290749329 is the 17964-th centered octagonal number.

It is an amenable number.

1290749329 is a deficient number, since it is larger than the sum of its proper divisors (37195562).

1290749329 is an frugal number, since it uses more digits than its factorization.

1290749329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 46.

The cubic root of 1290749329 is about 1088.7979704276.

The spelling of 1290749329 in words is "one billion, two hundred ninety million, seven hundred forty-nine thousand, three hundred twenty-nine".