1003977948169 has 9 divisors (see below), whose sum is σ = 1167900874311. Its totient is φ = 860546515080.

The previous prime is 1003977948119. The next prime is 1003977948191. The reversal of 1003977948169 is 9618497793001.

The square root of 1003977948169 is 1001987.

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., 836516939769 + 167461008400 = 914613^2 + 409220^2 .

It is not a de Polignac number, because 1003977948169 - 2¹¹ = 1003977946121 is a prime.

It is a super-2 number, since 2×1003977948169² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1003977948169.

It is not an unprimeable number, because it can be changed into a prime (1003977948119) 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, 6942339 + ... + 7085479.

Almost surely, 2^{1003977948169} is an apocalyptic number.

1003977948169 is the 1001987-th square number.

1003977948169 is the 500994-th centered octagonal number.

It is an amenable number.

1003977948169 is a deficient number, since it is larger than the sum of its proper divisors (163922926142).

1003977948169 is an frugal number, since it uses more digits than its factorization.

1003977948169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286296 (or 143148 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 64.

Multiplying 1003977948169 by its sum of digits (64), we get a square (64254588682816 = 8015896²).

The spelling of 1003977948169 in words is "one trillion, three billion, nine hundred seventy-seven million, nine hundred forty-eight thousand, one hundred sixty-nine".