1353404052 has 432 divisors, whose sum is σ = 4834432512. Its totient is φ = 321459840.

The previous prime is 1353404027. The next prime is 1353404053. The reversal of 1353404052 is 2504043531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353404053) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12648583 + ... + 12648689.

It is an arithmetic number, because the mean of its divisors is an integer number (11190816).

Almost surely, 2^1353404052 is an apocalyptic number.

1353404052 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 1353404052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417216256).

1353404052 is an abundant number, since it is smaller than the sum of its proper divisors (3481028460).

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

1353404052 is a wasteful number, since it uses less digits than its factorization.

1353404052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 1353404052 is about 36788.6402575578. The cubic root of 1353404052 is about 1106.1376058176.

Adding to 1353404052 its reverse (2504043531), we get a palindrome (3857447583).

The spelling of 1353404052 in words is "one billion, three hundred fifty-three million, four hundred four thousand, fifty-two".