1321768125 has 80 divisors (see below), whose sum is σ = 2479706240. Its totient is φ = 704214000.

The previous prime is 1321768043. The next prime is 1321768153. The reversal of 1321768125 is 5218671231.

1321768125 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1321768125 - 2¹² = 1321764029 is a prime.

It is a super-4 number, since 4×1321768125⁴ (a number of 38 digits) contains 4444 as substring.

Its product of digits (20160) is a multiple of the sum of its prime factors (1008).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1321768125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1366392 + ... + 1367358.

It is an arithmetic number, because the mean of its divisors is an integer number (30996328).

Almost surely, 2^1321768125 is an apocalyptic number.

1321768125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1321768125 is a deficient number, since it is larger than the sum of its proper divisors (1157938115).

1321768125 is an frugal number, since it uses more digits than its factorization.

1321768125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 975 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 1321768125 is about 36356.1291256371. The cubic root of 1321768125 is about 1097.4508810301.

The spelling of 1321768125 in words is "one billion, three hundred twenty-one million, seven hundred sixty-eight thousand, one hundred twenty-five".