1153903491601 has 9 divisors (see below), whose sum is σ = 1342304645499. Its totient is φ = 989053690464.

The previous prime is 1153903491589. The next prime is 1153903491647. The reversal of 1153903491601 is 1061943093511.

The square root of 1153903491601 is 1074199.

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., 1136643838225 + 17259653376 = 1066135^2 + 131376^2 .

It is not a de Polignac number, because 1153903491601 - 2²⁵ = 1153869937169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1153903491101) 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, 7442665 + ... + 7596121.

It is an arithmetic number, because the mean of its divisors is an integer number (149144960611).

Almost surely, 2^{1153903491601} is an apocalyptic number.

1153903491601 is the 1074199-th square number.

1153903491601 is the 537100-th centered octagonal number.

It is an amenable number.

1153903491601 is a deficient number, since it is larger than the sum of its proper divisors (188401153898).

1153903491601 is an frugal number, since it uses more digits than its factorization.

1153903491601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306928 (or 153464 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 43.

The spelling of 1153903491601 in words is "one trillion, one hundred fifty-three billion, nine hundred three million, four hundred ninety-one thousand, six hundred one".