1040772121 has 3 divisors (see below), whose sum is σ = 1040804383. Its totient is φ = 1040739860.

The previous prime is 1040772071. The next prime is 1040772127. The reversal of 1040772121 is 1212770401.

The square root of 1040772121 is 32261.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 1212770401 = 29 ⋅41819669.

It can be written as a sum of positive squares in only one way, i.e., 95824521 + 944947600 = 9789^2 + 30740^2 .

It is not a de Polignac number, because 1040772121 - 2⁹ = 1040771609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1040772127) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 16131 + ... + 48391.

Almost surely, 2^1040772121 is an apocalyptic number.

1040772121 is the 32261-st square number.

1040772121 is the 16131-st centered octagonal number.

It is an amenable number.

1040772121 is a deficient number, since it is larger than the sum of its proper divisors (32262).

1040772121 is an frugal number, since it uses more digits than its factorization.

1040772121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64522 (or 32261 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

The cubic root of 1040772121 is about 1013.4100730948.

Multiplying 1040772121 by its sum of digits (25), we get a square (26019303025 = 161305²).

Multiplying 1040772121 by its product of nonzero digits (784), we get a square (815965342864 = 903308²).

It can be divided in two parts, 10407 and 72121, that added together give a palindrome (82528).

The spelling of 1040772121 in words is "one billion, forty million, seven hundred seventy-two thousand, one hundred twenty-one".