321162401417253 has 32 divisors (see below), whose sum is σ = 479784436876800. Its totient is φ = 189377874999360.

The previous prime is 321162401417239. The next prime is 321162401417339. The reversal of 321162401417253 is 352714104261123.

It is a happy number.

It is not a de Polignac number, because 321162401417253 - 2⁴ = 321162401417237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321162401417203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39650098 + ... + 47057996.

It is an arithmetic number, because the mean of its divisors is an integer number (14993263652400).

Almost surely, 2^{321162401417253} is an apocalyptic number.

321162401417253 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

321162401417253 is a deficient number, since it is larger than the sum of its proper divisors (158622035459547).

321162401417253 is a wasteful number, since it uses less digits than its factorization.

321162401417253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7443457.

The product of its (nonzero) digits is 241920, while the sum is 42.

Adding to 321162401417253 its reverse (352714104261123), we get a palindrome (673876505678376).

The spelling of 321162401417253 in words is "three hundred twenty-one trillion, one hundred sixty-two billion, four hundred one million, four hundred seventeen thousand, two hundred fifty-three".