1642413201 has 32 divisors (see below), whose sum is σ = 2655744000. Its totient is φ = 889185600.

The previous prime is 1642413169. The next prime is 1642413211. The reversal of 1642413201 is 1023142461.

It is not a de Polignac number, because 1642413201 - 2⁵ = 1642413169 is a prime.

It is a super-2 number, since 2×1642413201² = 5395042245638132802, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1642413211) 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, 48451 + ... + 75048.

It is an arithmetic number, because the mean of its divisors is an integer number (82992000).

Almost surely, 2^1642413201 is an apocalyptic number.

1642413201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1642413201 is a deficient number, since it is larger than the sum of its proper divisors (1013330799).

1642413201 is a wasteful number, since it uses less digits than its factorization.

1642413201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123557.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1642413201 is about 40526.6973857974. The cubic root of 1642413201 is about 1179.8518441300.

Adding to 1642413201 its reverse (1023142461), we get a palindrome (2665555662).

The spelling of 1642413201 in words is "one billion, six hundred forty-two million, four hundred thirteen thousand, two hundred one".