1903740417121 has 27 divisors (see below), whose sum is σ = 2032127257683. Its totient is φ = 1783203116400.

The previous prime is 1903740417101. The next prime is 1903740417133. The reversal of 1903740417121 is 1217140473091.

The square root of 1903740417121 is 1379761.

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., 1829091248721 + 74649168400 = 1352439^2 + 273220^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1903740417121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1903740417101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2647761000 + ... + 2647761718.

Almost surely, 2^{1903740417121} is an apocalyptic number.

1903740417121 is the 1379761-st square number.

1903740417121 is the 689881-st centered octagonal number.

It is an amenable number.

1903740417121 is a deficient number, since it is larger than the sum of its proper divisors (128386840562).

1903740417121 is an frugal number, since it uses more digits than its factorization.

1903740417121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The spelling of 1903740417121 in words is "one trillion, nine hundred three billion, seven hundred forty million, four hundred seventeen thousand, one hundred twenty-one".