1353214590 has 128 divisors (see below), whose sum is σ = 4023032832. Its totient is φ = 283668480.

The previous prime is 1353214571. The next prime is 1353214649. The reversal of 1353214590 is 954123531.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 443470 + ... + 446510.

It is an arithmetic number, because the mean of its divisors is an integer number (31429944).

Almost surely, 2^1353214590 is an apocalyptic number.

1353214590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353214590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011516416).

1353214590 is an abundant number, since it is smaller than the sum of its proper divisors (2669818242).

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

1353214590 is a wasteful number, since it uses less digits than its factorization.

1353214590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234.

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 1353214590 is about 36786.0651606012. The cubic root of 1353214590 is about 1106.0859876226.

The spelling of 1353214590 in words is "one billion, three hundred fifty-three million, two hundred fourteen thousand, five hundred ninety".