1008761121 has 15 divisors (see below), whose sum is σ = 1507341891. Its totient is φ = 672316848.

The previous prime is 1008761119. The next prime is 1008761161. The reversal of 1008761121 is 1211678001.

The square root of 1008761121 is 31761.

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., 94303521 + 914457600 = 9711^2 + 30240^2 .

It is not a de Polignac number, because 1008761121 - 2¹ = 1008761119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1008761161) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 284085 + ... + 287613.

Almost surely, 2^1008761121 is an apocalyptic number.

1008761121 is the 31761-st square number.

1008761121 is the 15881-st centered octagonal number.

It is an amenable number.

1008761121 is a deficient number, since it is larger than the sum of its proper divisors (498580770).

1008761121 is an frugal number, since it uses more digits than its factorization.

1008761121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7070 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The cubic root of 1008761121 is about 1002.9118863545.

It can be divided in two parts, 1008 and 761121, that added together give a square (762129 = 873²).

The spelling of 1008761121 in words is "one billion, eight million, seven hundred sixty-one thousand, one hundred twenty-one".