1356351552 has 84 divisors (see below), whose sum is σ = 3902230956. Its totient is φ = 450432000.

The previous prime is 1356351527. The next prime is 1356351569. The reversal of 1356351552 is 2551536531.

1356351552 is a `hidden beast` number, since 1 + 3 + 5 + 635 + 15 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 168584256 + 1187767296 = 12984^2 + 34464^2 .

It is a super-2 number, since 2×1356351552² = 3679379065225617408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155302 + ... + 163802.

Almost surely, 2^1356351552 is an apocalyptic number.

1356351552 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 1356351552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951115478).

1356351552 is an abundant number, since it is smaller than the sum of its proper divisors (2545879404).

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

1356351552 is a wasteful number, since it uses less digits than its factorization.

1356351552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8796 (or 8783 counting only the distinct ones).

The product of its digits is 67500, while the sum is 36.

The square root of 1356351552 is about 36828.6783906238. The cubic root of 1356351552 is about 1106.9400211822.

The spelling of 1356351552 in words is "one billion, three hundred fifty-six million, three hundred fifty-one thousand, five hundred fifty-two".