1505600101216 has 48 divisors (see below), whose sum is σ = 3001858317360. Its totient is φ = 743260446720.

The previous prime is 1505600101211. The next prime is 1505600101237. The reversal of 1505600101216 is 6121010065051.

It is a happy number.

It is a super-3 number, since 3×1505600101216³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1505600101211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 721756 + ... + 1879396.

It is an arithmetic number, because the mean of its divisors is an integer number (62538714945).

Almost surely, 2^{1505600101216} is an apocalyptic number.

1505600101216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1505600101216 is a deficient number, since it is larger than the sum of its proper divisors (1496258216144).

1505600101216 is a wasteful number, since it uses less digits than its factorization.

1505600101216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158167 (or 1158159 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

Adding to 1505600101216 its reverse (6121010065051), we get a palindrome (7626610166267).

The spelling of 1505600101216 in words is "one trillion, five hundred five billion, six hundred million, one hundred one thousand, two hundred sixteen".