642101512 has 64 divisors (see below), whose sum is σ = 1345075200. Its totient is φ = 285361920.

The previous prime is 642101497. The next prime is 642101513. The reversal of 642101512 is 215101246.

It is a super-2 number, since 2×642101512² = 824588703425372288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (642101513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 892689 + ... + 893407.

It is an arithmetic number, because the mean of its divisors is an integer number (21016800).

Almost surely, 2^642101512 is an apocalyptic number.

642101512 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642101512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672537600).

642101512 is an abundant number, since it is smaller than the sum of its proper divisors (702973688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

642101512 is a wasteful number, since it uses less digits than its factorization.

642101512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 642101512 is about 25339.7220189962. The cubic root of 642101512 is about 862.7160893001.

Adding to 642101512 its reverse (215101246), we get a palindrome (857202758).

The spelling of 642101512 in words is "six hundred forty-two million, one hundred one thousand, five hundred twelve".