1358093952 has 192 divisors, whose sum is σ = 4143484800. Its totient is φ = 442589184.

The previous prime is 1358093929. The next prime is 1358093959. The reversal of 1358093952 is 2593908531.

1358093952 is a `hidden beast` number, since 13 + 580 + 9 + 3 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 1358093898 and 1358093907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1358093959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1461424 + ... + 1462352.

It is an arithmetic number, because the mean of its divisors is an integer number (21580650).

Almost surely, 2^1358093952 is an apocalyptic number.

1358093952 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 1358093952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071742400).

1358093952 is an abundant number, since it is smaller than the sum of its proper divisors (2785390848).

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

1358093952 is an frugal number, since it uses more digits than its factorization.

1358093952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 1358093952 is about 36852.3262766409. The cubic root of 1358093952 is about 1107.4138184513.

The spelling of 1358093952 in words is "one billion, three hundred fifty-eight million, ninety-three thousand, nine hundred fifty-two".