1355005152 has 48 divisors (see below), whose sum is σ = 3952100880. Its totient is φ = 451668096.

The previous prime is 1355005147. The next prime is 1355005189. The reversal of 1355005152 is 2515005531.

1355005152 is a `hidden beast` number, since 1 + 3 + 5 + 500 + 5 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 783283 + ... + 785010.

It is an arithmetic number, because the mean of its divisors is an integer number (82335435).

Almost surely, 2^1355005152 is an apocalyptic number.

1355005152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1355005152 is an abundant number, since it is smaller than the sum of its proper divisors (2597095728).

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

1355005152 is a wasteful number, since it uses less digits than its factorization.

1355005152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568312 (or 1568298 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 1355005152 is about 36810.3946189117. The cubic root of 1355005152 is about 1106.5736271196.

The spelling of 1355005152 in words is "one billion, three hundred fifty-five million, five thousand, one hundred fifty-two".