1305626201216 has 32 divisors (see below), whose sum is σ = 2754055272780. Its totient is φ = 614412328960.

The previous prime is 1305626201183. The next prime is 1305626201249. The reversal of 1305626201216 is 6121026265031.

It is an interprime number because it is at equal distance from previous prime (1305626201183) and next prime (1305626201249).

It can be written as a sum of positive squares in 2 ways, for example, as 1240764298816 + 64861902400 = 1113896^2 + 254680^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 300003845 + ... + 300008196.

Almost surely, 2^{1305626201216} is an apocalyptic number.

1305626201216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1305626201216 is an abundant number, since it is smaller than the sum of its proper divisors (1448429071564).

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

1305626201216 is an equidigital number, since it uses as much as digits as its factorization.

1305626201216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600012072 (or 600012060 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 1305626201216 in words is "one trillion, three hundred five billion, six hundred twenty-six million, two hundred one thousand, two hundred sixteen".