1311207552 has 384 divisors, whose sum is σ = 4330609920. Its totient is φ = 378470400.

The previous prime is 1311207509. The next prime is 1311207559. The reversal of 1311207552 is 2557021131.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (1311207559) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18467677 + ... + 18467747.

It is an arithmetic number, because the mean of its divisors is an integer number (11277630).

Almost surely, 2^1311207552 is an apocalyptic number.

1311207552 is a gapful number since it is divisible by the number (12) 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 1311207552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2165304960).

1311207552 is an abundant number, since it is smaller than the sum of its proper divisors (3019402368).

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

1311207552 is a wasteful number, since it uses less digits than its factorization.

1311207552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 1311207552 is about 36210.5999950291. The cubic root of 1311207552 is about 1094.5202827680.

Adding to 1311207552 its reverse (2557021131), we get a palindrome (3868228683).

The spelling of 1311207552 in words is "one billion, three hundred eleven million, two hundred seven thousand, five hundred fifty-two".