1353366504 has 384 divisors, whose sum is σ = 4696473600. Its totient is φ = 343388160.

The previous prime is 1353366493. The next prime is 1353366517. The reversal of 1353366504 is 4056633531.

1353366504 is a `hidden beast` number, since 13 + 533 + 66 + 50 + 4 = 666.

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 95 ways as a sum of consecutive naturals, for example, 13952184 + ... + 13952280.

It is an arithmetic number, because the mean of its divisors is an integer number (12230400).

Almost surely, 2^1353366504 is an apocalyptic number.

1353366504 is a gapful number since it is divisible by the number (14) 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 1353366504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348236800).

1353366504 is an abundant number, since it is smaller than the sum of its proper divisors (3343107096).

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

1353366504 is a wasteful number, since it uses less digits than its factorization.

1353366504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 1353366504 is about 36788.1299334446. The cubic root of 1353366504 is about 1106.1273763919.

The spelling of 1353366504 in words is "one billion, three hundred fifty-three million, three hundred sixty-six thousand, five hundred four".