1353126401 has 16 divisors (see below), whose sum is σ = 1555070400. Its totient is φ = 1164441600.

The previous prime is 1353126377. The next prime is 1353126413. The reversal of 1353126401 is 1046213531.

It is not a de Polignac number, because 1353126401 - 2⁶ = 1353126337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1353126701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443441 + ... + 446481.

It is an arithmetic number, because the mean of its divisors is an integer number (97191900).

Almost surely, 2^1353126401 is an apocalyptic number.

1353126401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1353126401 is a deficient number, since it is larger than the sum of its proper divisors (201943999).

1353126401 is a wasteful number, since it uses less digits than its factorization.

1353126401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5200.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 1353126401 is about 36784.8664670677. The cubic root of 1353126401 is about 1106.0619592246.

Adding to 1353126401 its reverse (1046213531), we get a palindrome (2399339932).

The spelling of 1353126401 in words is "one billion, three hundred fifty-three million, one hundred twenty-six thousand, four hundred one".