1253170541401 has 9 divisors (see below), whose sum is σ = 1259980972159. Its totient is φ = 1246396743400.

The previous prime is 1253170541347. The next prime is 1253170541407. The reversal of 1253170541401 is 1041450713521.

The square root of 1253170541401 is 1119451.

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., 566029017801 + 687141523600 = 752349^2 + 828940^2 .

It is not a de Polignac number, because 1253170541401 - 2⁹ = 1253170540889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1253170541407) 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, 213812211 + ... + 213818071.

Almost surely, 2^{1253170541401} is an apocalyptic number.

1253170541401 is the 1119451-st square number.

1253170541401 is the 559726-th centered octagonal number.

It is an amenable number.

1253170541401 is a deficient number, since it is larger than the sum of its proper divisors (6810430758).

1253170541401 is an frugal number, since it uses more digits than its factorization.

1253170541401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12104 (or 6052 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The spelling of 1253170541401 in words is "one trillion, two hundred fifty-three billion, one hundred seventy million, five hundred forty-one thousand, four hundred one".