1363413552 has 160 divisors (see below), whose sum is σ = 3842968320. Its totient is φ = 415134720.

The previous prime is 1363413509. The next prime is 1363413563. The reversal of 1363413552 is 2553143631.

It is a super-3 number, since 3×1363413552³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3238302 + ... + 3238722.

It is an arithmetic number, because the mean of its divisors is an integer number (24018552).

Almost surely, 2^1363413552 is an apocalyptic number.

1363413552 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 1363413552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921484160).

1363413552 is an abundant number, since it is smaller than the sum of its proper divisors (2479554768).

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

1363413552 is a wasteful number, since it uses less digits than its factorization.

1363413552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 565 counting only the distinct ones).

The product of its digits is 32400, while the sum is 33.

The square root of 1363413552 is about 36924.4302867356. The cubic root of 1363413552 is about 1108.8578333350.

The spelling of 1363413552 in words is "one billion, three hundred sixty-three million, four hundred thirteen thousand, five hundred fifty-two".