1053121077 has 24 divisors (see below), whose sum is σ = 1556477208. Its totient is φ = 685900800.

The previous prime is 1053121063. The next prime is 1053121081. The reversal of 1053121077 is 7701213501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 291692241 + 761428836 = 17079^2 + 27594^2 .

It is not a de Polignac number, because 1053121077 - 2²⁰ = 1052072501 is a prime.

It is a super-2 number, since 2×1053121077² = 2218128005643279858, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1053121077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053121007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110377 + ... + 119537.

It is an arithmetic number, because the mean of its divisors is an integer number (64853217).

Almost surely, 2^1053121077 is an apocalyptic number.

It is an amenable number.

1053121077 is a deficient number, since it is larger than the sum of its proper divisors (503356131).

1053121077 is a wasteful number, since it uses less digits than its factorization.

1053121077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9461 (or 9458 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 1053121077 is about 32451.8270209860. The cubic root of 1053121077 is about 1017.4024245445.

Adding to 1053121077 its reverse (7701213501), we get a palindrome (8754334578).

The spelling of 1053121077 in words is "one billion, fifty-three million, one hundred twenty-one thousand, seventy-seven".